삼각형, 사각형의 넓이

<!DOCTYPE html> <html lang="ko" data-agent="Mozilla/4.0 (compatible; MSIE 7.0; Windows NT 6.0; SLCC1; .NET CLR 2.0.50727; .NET CLR 3.0.04506; .NET CLR 3.5.21022; .NET CLR 1.0.3705; .NET CLR 1.1.4322)"> <head> <link rel="canonical" href="https://terms.naver.com/"> <meta http-equiv="Content-Type" content="text/html; charset=utf-8"> <meta http-equiv="Content-Script-Type" content="text/javascript"> <meta http-equiv="Content-Style-Type" content="text/css"> <meta http-equiv="X-UA-Compatible" content="requiresActiveX=true;IE=edge"> <meta property="og:type" content="article"> <meta property="og:url" content="https://terms.naver.com/entry.naver?cid=43669&docId=2073770&categoryId=43669"> <meta property="og:title" content="삼각형, 사각형의 넓이"> <meta property="og:image" content="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173150091_UKM9EG8C7.jpg/z3_1060_i1.jpg?type=w450_fst"> <meta property="og:description" content="[ 1. 교과서 속 주개념] [ 1) 삼각형의 넓이 공식] [ 2) 사각형의 넓이 공식] 대각선의 길이가 p, q 이고, 그 교각이 θ 일 때 , 이웃하는 두 변의 길이가 a, b이고 그 끼인각이 θ 인 평행사변형일 때 S = absinθ [[예제]] 1. 세변의 길이가 2, 3, 4일 때, 삼각형 ABC의 넓이는? 정답 및 해설 1. 실용수학 삼각형의 넓이공식 적용 : 삼각함수를 이용해 넓이를 구하는 방법은 세 변의 길이만을 제시해 준 경우 '헤론의 공식'이라고 불리는 식을 적용한다. 넓이를 구하는 전형적인 식은 이다. 이때 변의 길이가 주어졌기 때문에 사이각 C에 대한 sin값을 구해야 하는데 코사인 제 2법칙에 의해 cosC를 구하게 되면 에 의해 sinC를 도출할 수있다. 이 과정에 의해 삼각형의 넓이가 헤론의 식으로 정리되는 것이다. 세 변의 길이와 내접원의 반지름을 제시해 준 경우 내접원의 중심에서 각 꼭지점에 선을 그으면 세 개의 삼각형으로 나누어지고 세 삼각"> <meta property="og:article:author" content="네이버 지식백과" /> <meta property="og:article:author:url" content="https://m.terms.naver.com" /> <meta name="viewport" content="width=1110" />  <title>삼각형, 사각형의 넓이</title> <meta name="Description" CONTENT="어린이/학생백과, 동물/식물, 건강, 역사, 자연과학, 인문과학, 미술작품, 비주얼사전 등 전문가들이 정리한 지식을 제공하는 종합백과서비스" /> <link rel="stylesheet" type="text/css" href="https://ssl.pstatic.net/static/terms/terms/css/terms_tlist.css?250117044232"> <link rel="stylesheet" type="text/css" href="https://ssl.pstatic.net/static/terms/terms/css/terms_230427.css?250117044232"> <link 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href="javascript:;" data-class="font1" role="option">나눔고딕</a> <a href="javascript:;" data-class="font2" role="option">맑은고딕</a> <a href="javascript:;" data-class="font3" role="option">돋움체</a> </div> <a href="javascript:;" role="button" class="btn sm __fontBtn">가<span class="blind">- 글꼴 작게</span></a> <a href="javascript:;" role="button" class="btn big __fontBtn">가<span class="blind">+ 글꼴 크게</span></a> </div> </div> </div> <div class="section_wrap "> <div class="headword_title"> <p class="cite"> <a href="list.naver?categoryId=43669&so=st4.asc" onclick="clickcr(this, 'toa.source', '', '', event);">통합논술 개념어 사전 > 수리영역</a> </p> <h2 class="headword">삼각형, 사각형의 넓이</h2> <p class="desc"></p> <p class="word"> </p> </div> <div id="size_ct" class="size_ct_v2"> <div class="att_type"> <div class="inner_att_type"> <div class="wr_tmp_profile"> <div class="tmp_profile"> <table class="tmp_profile_tb"> <colgroup> <col class="tmp_col"> <col width="*"> </colgroup> <tbody> <tr> <th scope="row"><span class="title">교과단원</span></th> <td> 수학 10(나), Ⅲ. 삼각함수, Ⅲ-4 삼각형과 삼각함수 </td> </tr> </tbody> </table> </div> </div> </div> </div> <div class="tmp_agenda newline"><h3>목차</h3><ol><li class=""><a href="#TABLE_OF_CONTENT1" onclick="clickcr(this, 'bdy.contents', '', '',event);"><i>1.</i> 교과서 속 주개념</a></li> <li class="indent"><a href="#TABLE_OF_CONTENT2" onclick="clickcr(this, 'bdy.contents', '', '',event);"><i>1)</i> 삼각형의 넓이 공식</a></li> <li class="indent"><a href="#TABLE_OF_CONTENT3" onclick="clickcr(this, 'bdy.contents', '', '',event);"><i>2)</i> 사각형의 넓이 공식</a></li> <li class=""><a href="#TABLE_OF_CONTENT4" onclick="clickcr(this, 'bdy.contents', '', '',event);">[예제]</a></li> <li class=""><a href="#TABLE_OF_CONTENT5" onclick="clickcr(this, 'bdy.contents', '', '',event);"><i>2.</i> 관련 지식</a></li> <li class="indent"><a href="#TABLE_OF_CONTENT6" onclick="clickcr(this, 'bdy.contents', '', '',event);">닮음비를 대체한 삼각비</a></li> </ol></div> <h3 class="stress" id="TABLE_OF_CONTENT1"><em>1.</em> 교과서 속 주개념</h3> <h4 id="TABLE_OF_CONTENT2" class="num"> 1) 삼각형의 넓이 공식</h4> <div class="thmb c"> <a href="/imageDetail.naver?docId=2073770&imageUrl=https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F2780_000_1%2F20140310173150091_UKM9EG8C7.jpg%2Fz3_1060_i1.jpg%3Ftype%3Dm4500_4500_fst%26wm%3DN" target="_blank" onclick="clickcr(this, 'bdy.imgal', '', '', event);"><img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173150091_UKM9EG8C7.jpg/z3_1060_i1.jpg?type=w340_fst&wm=N" width="340" height="59" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173150091_UKM9EG8C7.jpg/z3_1060_i1.jpg?type=m4500_4500_fst&wm=N" origin_width="897" origin_height="156" source="통합논술 개념어 사전" hasTitle="N" data-font-image="false" alt="삼각형, 사각형의 넓이 본문 이미지 1" desc="" data-title="" data-seq="1"></a> </div> <h4 id="TABLE_OF_CONTENT3" class="num"> 2) 사각형의 넓이 공식</h4> <p class="txt">대각선의 길이가 <i>p</i>, <i>q</i> 이고, 그 교각이 <i>θ</i> 일 때 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173151903_29QWKPEU9.jpg/z3_1060_f1.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f1" width="74" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173151903_29QWKPEU9.jpg/z3_1060_f1.jpg?type=m4500_4500_fst&wm=N" origin_width="204" origin_height="66" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />, 이웃하는 두 변의 길이가 <i>a</i>, <i>b</i>이고 그 끼인각이 <i>θ</i> 인 평행사변형일 때 <i>S</i> = <i>ab</i>sin<i>θ</i></p> <h3 class="stress" id="TABLE_OF_CONTENT4">[예제]</h3> <p class="txt">1. 세변의 길이가 2, 3, 4일 때, 삼각형 ABC의 넓이는?</p> <div class="box_content"> <h4><em class="pcate"><span>정답 및 해설</span></em></h4> <p class="txt">1. <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320094827705_5UIMK79UM.jpg/z3_1060_f2.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f2" width="177" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320094827705_5UIMK79UM.jpg/z3_1060_f2.jpg?type=m4500_4500_fst&wm=N" origin_width="421" origin_height="57" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" /></p> </div> <div class="box_content"> <h4><em class="pcate"><span>실용수학</span></em></h4> <p class="txt"><strong>삼각형의 넓이공식 적용</strong> : 삼각함수를 이용해 넓이를 구하는 방법은 세 변의 길이만을 제시해 준 경우 '헤론의 공식'이라고 불리는 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173154907_EGI6ZREWP.jpg/z3_1060_f3.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f3" width="281" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173154907_EGI6ZREWP.jpg/z3_1060_f3.jpg?type=m4500_4500_fst&wm=N" origin_width="668" origin_height="57" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />식을 적용한다. 넓이를 구하는 전형적인 식은 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173155387_IRZ9GC7LF.jpg/z3_1060_f4.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f4" width="79" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173155387_IRZ9GC7LF.jpg/z3_1060_f4.jpg?type=m4500_4500_fst&wm=N" origin_width="188" origin_height="57" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />이다. 이때 변의 길이가 주어졌기 때문에 사이각 <i>C</i>에 대한 sin값을 구해야 하는데 코사인 제 2법칙에 의해 cos<i>C</i>를 구하게 되면 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173155806_YEE0HG6HU.jpg/z3_1060_f5.jpg?type=m600_14_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f5" width="96" height="14" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173155806_YEE0HG6HU.jpg/z3_1060_f5.jpg?type=m4500_4500_fst&wm=N" origin_width="263" origin_height="38" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />에 의해 sin<i>C</i>를 도출할 수있다. 이 과정에 의해 삼각형의 넓이가 헤론의 식으로 정리되는 것이다. 세 변의 길이와 내접원의 반지름을 제시해 준 경우 내접원의 중심에서 각 꼭지점에 선을 그으면 세 개의 삼각형으로 나누어지고 세 삼각형의 넓이의 합이 전체 삼각형의 넓이가 된다.<br><br>각각의 삼각형은 밑변이 <i>a</i>, <i>b</i>, <i>c</i>이고 높이가 공통적으로 내접원의 반지름 <i>r</i> 이므로 넓이 공식이 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173155864_FTITI2FGX.jpg/z3_1060_f6.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f6" width="73" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173155864_FTITI2FGX.jpg/z3_1060_f6.jpg?type=m4500_4500_fst&wm=N" origin_width="175" origin_height="57" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />로 귀결되는 것이다. 마지막으로 외접원의 반지름을 제시해 준 경우 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320022513789_FCCNFPYYM.jpg/z3_1060_f7.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f7" width="79" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320022513789_FCCNFPYYM.jpg/z3_1060_f7.jpg?type=m4500_4500_fst&wm=N" origin_width="188" origin_height="57" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />식에서 sin 법칙에 의해 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173156984_ZZN7Y7VVD.jpg/z3_1060_f8.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f8" width="72" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173156984_ZZN7Y7VVD.jpg/z3_1060_f8.jpg?type=m4500_4500_fst&wm=N" origin_width="153" origin_height="51" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />로 주어지므로 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320022550588_UQRFJ3LLO.jpg/z3_1060_f9.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f9" width="43" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320022550588_UQRFJ3LLO.jpg/z3_1060_f9.jpg?type=m4500_4500_fst&wm=N" origin_width="108" origin_height="59" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />로 정리되는 것이다. 넓이 공식은 주어진 조건을 확인한 후 간편한 식을 사용하면 된다.<br><br><strong>사각형의 넓이 공식</strong> : 먼저 사각형의 각 변의 길이와 마주보는 각의 크기를 제시해 준 경우 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320022658107_891AFFI6S.jpg/z3_1060_f10.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f10" width="79" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320022658107_891AFFI6S.jpg/z3_1060_f10.jpg?type=m4500_4500_fst&wm=N" origin_width="188" origin_height="57" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />에 따라 산정이 가능하다. 네 변의 길이를 <i>a</i>, <i>b</i>, <i>c</i>, <i>d</i>로 놓고 <i>a</i>, <i>b</i>사이의 각을 <i>α</i>, <i>c</i>, <i>d</i>사이의 각을 <i>β</i>라 하면 사각형을 두개의 삼각형으로 분리하여 각각의 넓이를 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320022713672_41WJTRHYZ.jpg/z3_1060_f11.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f11" width="80" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320022713672_41WJTRHYZ.jpg/z3_1060_f11.jpg?type=m4500_4500_fst&wm=N" origin_width="188" origin_height="56" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />식에 따라 구하게 되면 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320022729405_56YW4J44P.jpg/z3_1060_f12.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f12" width="144" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140320022729405_56YW4J44P.jpg/z3_1060_f12.jpg?type=m4500_4500_fst&wm=N" origin_width="337" origin_height="56" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />와 같이 정리할 수 있다. 두 번째로 대각선의 길이와 대각선이 이루는 사이각을 제시한 경우 사각형은 삼각형 4개로 분리가 되고 2개의 삼각형의 사이각은 대각선이 이루는 각이 되고, 나머지 2개의 삼각형은 180° 에서 대각선이 이루는 각을 뺀 각도가 된다. 대각선의 길이를 <i>p</i>, <i>q</i> 사이각을 <i>θ</i>라 하면 사각형의 넓이는 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173202225_Z7KAF15CJ.jpg/z3_1060_f13.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f13" width="76" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173202225_Z7KAF15CJ.jpg/z3_1060_f13.jpg?type=m4500_4500_fst&wm=N" origin_width="181" origin_height="57" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />와 같이 정리가 된다.</p> </div> <h3 class="stress" id="TABLE_OF_CONTENT5"><em>2.</em> 관련 지식</h3> <h4 id="TABLE_OF_CONTENT6">닮음비를 대체한 삼각비</h4> <div class="thmb c"> <a href="/imageDetail.naver?docId=2073770&imageUrl=https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F2780_000_1%2F20140310173202633_UJ1C0NA0N.jpg%2Fz3_1060_i2.jpg%3Ftype%3Dm4500_4500_fst%26wm%3DN" target="_blank" onclick="clickcr(this, 'bdy.imgal', '', '', event);"><img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173202633_UJ1C0NA0N.jpg/z3_1060_i2.jpg?type=h168_fst&wm=N" width="189" height="168" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173202633_UJ1C0NA0N.jpg/z3_1060_i2.jpg?type=m4500_4500_fst&wm=N" origin_width="295" origin_height="261" source="통합논술 개념어 사전" hasTitle="N" data-font-image="false" alt="삼각형, 사각형의 넓이 본문 이미지 2" desc="" data-title="" data-seq="15"></a> </div> <p class="txt">그림과 같이 <i>AB</i>, <i>AC</i>를 각각 2 : 1, 1 : 2로 나누는 점을 <i>D</i>,<i>E</i>라고 하면 삼각형 <i>ADE</i>의 넓이는 전체 삼각형 <i>ABC</i>넓이의 몇 분의 몇인가를 묻는 문제에서 닮음비를 활용하면 <i>ABC</i> : <i>ABE</i> = 3 : 1, <i>ABE</i> : <i>ADE</i> = 3 : 2이므로 결국 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173203091_EMOYS9I3W.jpg/z3_1060_f14.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f14" width="203" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173203091_EMOYS9I3W.jpg/z3_1060_f14.jpg?type=m4500_4500_fst&wm=N" origin_width="567" origin_height="67" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />가 된다. 이는 간단히 사인(sin<i>e</i>)법칙에 의해 해결이 가능하다. <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173203844_06ZIV94LY.jpg/z3_1060_f15.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f15" width="71" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173203844_06ZIV94LY.jpg/z3_1060_f15.jpg?type=m4500_4500_fst&wm=N" origin_width="196" origin_height="66" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />이므로 ∠<i>A</i>를 공통으로 하는 삼각형 <i>ADE</i>, <i>ABC</i>의 넓이의 비는 <i>AD</i>·<i>AE</i> : <i>AB</i>·<i>AC</i>로 표현이 가능하므로 <img src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173204549_AN1HIYODN.jpg/z3_1060_f16.jpg?type=m1000_24_fst&wm=N" data-font-image="false" data-image-id="concept_term_linkable_data_db^CP00055568$z3_1060_f16" width="80" height="24" origin_src="https://dbscthumb-phinf.pstatic.net/2780_000_1/20140310173204549_AN1HIYODN.jpg/z3_1060_f16.jpg?type=m4500_4500_fst&wm=N" origin_width="220" origin_height="66" source="통합논술 개념어 사전" source_mobile="통합논술 개념어 사전" hastitle="N" />가 된다.</p> </div> <div class="section_group"> <div class="section_area" id="relatedContentsArea" data-docId="2073770" data-expCategoryId="43669"> </div> </div> <div class="section_group cite_group"> <div class="section_area"> <h3 class="title">출처</h3> <div class="cite_area_wrap "> <h3 class="blind">제공처 정보</h3> <div class="cite_area"> <div class="cite_info"> <strong class="title"> <a href="/list.naver?categoryId=43669" onclick="nclk(this, 'soc.source', '', '', 1);">통합논술 개념어 사전</a> </strong> <span class="sub_info">2007. 12. 15.</span> <a href="http://book.naver.com/bookdb/book_detail.nhn?bid=4373080" class="link" target="_blank" onclick="nclk(this, 'soc.bmore', '', '', 1);">책보러가기<i class="ico_arrow"></i></a> </div> </div> <div class="writer_area"> <ul class="writer_list"> <li> <div class="cite_area"> <p class="writer_info"> <strong>저자</strong> <span class="writer"> <a href="/list.naver?searchId=au126" onclick="nclk(this, 'soc.expertname', '', '', 1);">한림학사</a> </span> </p> </div> </li> <li> <div class="cite_area"> <p class="writer_info"> <strong> 제공처 </strong> <span class="writer"> <a href="/list.naver?searchId=pv274" onclick="nclk(this, 'soc.expertname', '', '', 1);">청서출판</a> </span> </p> </div> </li> </ul> </div> </div> </div> <p class="cite_desc"><i class="ico_info"></i>본 콘텐츠의 저작권은 저자 또는 제공처에 있으며, 이를 무단 이용하는 경우 저작권법 등에 따라 법적책임을 질 수 있습니다.<br>외부 저작권자가 제공한 콘텐츠는 네이버의 입장과 다를 수 있습니다.</p> <div class="end_btn"> <div id="t_like_layer" class="u_likeit u_likeit_list_module _reactionModule" style="visibility:hidden" data-sid="ENCYCLOPEDIA" data-did="ENCYCLOPEDIA" data-cid="2073770"> <ul class="u_likeit_inline" role="radiogroup" aria-labelledby="u_likeit_title"> <li class="u_likeit_list useful" role="menuitem"> <a class="u_likeit_list_button _button" data-type="useful" data-log="RTC.useful|RTC.unuseful" href="#ratingbutton-useful" role="button" aria-selected="false"> <span class="u_likeit_list_name _label">유익해요</span> <span class="u_likeit_list_count _count">0</span> </a> </li> <li class="u_likeit_list want" role="presentation"> <a class="u_likeit_list_button _button" data-type="want" data-log="RTC.want|RTC.unwant" href="#ratingbutton-want" role="radio" aria-checked="false"> <span class="u_likeit_list_name _label">더 알고 싶어요</span> <span class="u_likeit_list_count _count">0</span> </a> </li> <li class="u_likeit_list quote" role="menuitem"> <a class="u_likeit_list_button _button" data-type="quote" data-log="RTC.quote|RTC.unquote" href="#ratingbutton-quote" role="radio" aria-checked="false"> <span class="u_likeit_list_name _label">담아갈게요</span> <span class="u_likeit_list_count _count">0</span> </a> </li> <li class="u_likeit_list modify" role="presentation"> <a class="u_likeit_list_button _button" data-type="modify" data-log="RTC.modify|RTC.unmodify" href="#ratingbutton-modify" role="radio" aria-checked="false"> <span class="u_likeit_list_name _label">수정해주세요</span> <span class="u_likeit_list_count _count">0</span> </a> </li> </ul> </div> <div class="spi_area"> <a href="javascript:;" id="spiButton" class="btn naver-splugin" data-style="type_a" data-url="https://terms.naver.com/entry.naver?cid=43669&docId=2073770&categoryId=43669" data-source-name="통합논술 개념어 사전" data-blog-source-form="2" data-cafe-source-form="2" data-title="삼각형, 사각형의 넓이" data-me-display="off" title="보내기" onclick="nclk(this, 'uoa.share', '', '', 1);" ><i class="ico share"></i>공유</a> <a href="/print.naver?docId=2073770&categoryId=43669" class="btn" target="_blank" onclick="nclk(this, 'pri.print', '', '', 1); window.open(this.href, '', 'width=788, height=600, toolbar=0, menubar=no, resizable=no, scrollbars=yes'); return false;"><i class="ico print"></i>인쇄</a> </div> <div id="t_modify_layer" class="layer_modify_wrap" style="display:none"> <div class="layer_pop"> <div class="layer_area"> <strong class="notice_title">수정할 콘텐츠를 알려주세요.</strong> <p class="notice_dsc">수정에 필요한 정보를 적어 주시면<br>반영 내역을 메일로 알려드립니다.</p> <button type="button" class="btn_txt">입력하기</button> </div> <div class="layer_bottom"> <a href="javascript:;" class="btn_stop">오늘 레이어 그만보기<i class="ico" aria-hidden="true"></i></a> </div> <a href="javascript:;" class="btn_close" title="창 닫기"><i class="ico">창 닫기</i></a> </div> </div> </div> </div> </div> <div class="sub_cont_wrap" style="display:none"> <div class="info_tmp_wrap" id="graphDataArea" style="display:none"></div> <div class="info_tmp_wrap" id="sameMeaningTerms" style="display:none"></div> <div class="info_tmp_wrap" id="suggestThemeList" style="display:none"></div> </div> </div> <div class="aside" id="asideWrap" role="complementary"> <div class="section"> <h3 class="section_title">함께 많이 본</h3> <ul class="section_list" id="countControlByHeight"> <li class="section_item"> <div class="thumb_area"> <div class="thumb"> <a href="/entry.naver?docId=3559487" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);"> <img class="lazyLoadImage" src="https://ssl.pstatic.net/static/terms/terms/img/e.gif" data-src="https://dthumb-phinf.pstatic.net/?src=%22https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F4751_000_5%2F20170329195152313_WUAJFIHFN.jpg%2F483_128718_13570.jpg%3Ftype%3Dw450_fst%23c450%22&twidth=56&theight=40&opts=17" alt="삼각형의 넓이"> <span class="mask"></span> </a> </div> </div> <div class="desc"> <a href="/entry.naver?docId=3559487" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);">삼각형의 넓이</a> <em class="cite"><a href="/list.naver?categoryId=58732">천재학습백과 초등 수학 4-2</a></em> </div> </li> <li class="section_item"> <div class="thumb_area"> <div class="thumb"> <a href="/entry.naver?docId=3552311" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);"> <img class="lazyLoadImage" src="https://ssl.pstatic.net/static/terms/terms/img/e.gif" data-src="https://dthumb-phinf.pstatic.net/?src=%22https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F4751_000_7%2F20211122160637288_3DC3PJDLX.jpg%2F135220_i1.jpg%3Ftype%3Dw450_fst%23c374%22&twidth=56&theight=40&opts=17" alt="삼각형의 넓이를 이용하여 밑변과 높이 구하기"> <span class="mask"></span> </a> </div> </div> <div class="desc"> <a href="/entry.naver?docId=3552311" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);">삼각형의 넓이를 이용하여 밑변과 높이 구하기</a> <em class="cite"><a href="/list.naver?categoryId=58666">천재학습백과 초등 수학 5-1</a></em> </div> </li> <li class="section_item"> <div class="thumb_area"> <div class="thumb"> <a href="/entry.naver?docId=3350241" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);"> <img class="lazyLoadImage" src="https://ssl.pstatic.net/static/terms/terms/img/e.gif" data-src="https://dthumb-phinf.pstatic.net/?src=%22https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F4353_000_1%2F20160404162223156_O9LF5LBIG.jpg%2Fcd5_m21_1_i1.jpg%3Ftype%3Dw450_fst%23c450%22&twidth=56&theight=40&opts=17" alt="삼각형의 넓이 공식"> <span class="mask"></span> </a> </div> </div> <div class="desc"> <a href="/entry.naver?docId=3350241" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);">삼각형의 넓이 공식</a> <em class="cite"><a href="/list.naver?categoryId=60210">자주 찾는 수학 공식</a></em> </div> </li> <li class="section_item"> <div class="thumb_area"> <div class="thumb"> <a href="/entry.naver?docId=3350214" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);"> <img class="lazyLoadImage" src="https://ssl.pstatic.net/static/terms/terms/img/e.gif" data-src="https://dthumb-phinf.pstatic.net/?src=%22https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F4353_000_1%2F20160404162029702_NKM11PZ6S.jpg%2Fcd5_m17_1_i1.jpg%3Ftype%3Dw450_fst%23c450%22&twidth=56&theight=40&opts=17" alt="사각형의 넓이 공식"> <span class="mask"></span> </a> </div> </div> <div class="desc"> <a href="/entry.naver?docId=3350214" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);">사각형의 넓이 공식</a> <em class="cite"><a href="/list.naver?categoryId=60210">자주 찾는 수학 공식</a></em> </div> </li> <li class="section_item"> <div class="thumb_area"> <div class="thumb"> <a href="/entry.naver?docId=926133" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);"> <img class="lazyLoadImage" src="https://ssl.pstatic.net/static/terms/terms/img/e.gif" data-src="https://dthumb-phinf.pstatic.net/?src=%22https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F0912_000_1%2F20120207181831936_5HUXJM7ET.jpg%2Fcd2_231_i1.jpg%3Ftype%3Dw450_fst%22&twidth=56&theight=40&opts=17" alt="사각형의 넓이"> <span class="mask"></span> </a> </div> </div> <div class="desc"> <a href="/entry.naver?docId=926133" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);">사각형의 넓이</a> <em class="cite"><a href="/list.naver?categoryId=42428">Basic 중학생을 위한 수학공식 활용사전</a></em> </div> </li> <li class="section_item"> <div class="thumb_area"> <div class="thumb"> <a href="/entry.naver?docId=926132" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);"> <img class="lazyLoadImage" src="https://ssl.pstatic.net/static/terms/terms/img/e.gif" data-src="https://dthumb-phinf.pstatic.net/?src=%22https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F0912_000_1%2F20120207181829275_5YYJBLH8D.jpg%2Fcd2_230_i1.jpg%3Ftype%3Dw450_fst%23c224%22&twidth=56&theight=40&opts=17" alt="삼각형의 넓이"> <span class="mask"></span> </a> </div> </div> <div class="desc"> <a href="/entry.naver?docId=926132" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);">삼각형의 넓이</a> <em class="cite"><a href="/list.naver?categoryId=42428">Basic 중학생을 위한 수학공식 활용사전</a></em> </div> </li> <li class="section_item"> <div class="desc"> <a href="/entry.naver?docId=945604" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);">삼각형의 넓이</a> <em class="cite"><a href="/list.naver?categoryId=42427">Basic 고교생을 위한 수학공식 활용사전</a></em> </div> </li> <li class="section_item"> <div class="thumb_area"> <div class="thumb"> <a href="/entry.naver?docId=3350384" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);"> <img class="lazyLoadImage" src="https://ssl.pstatic.net/static/terms/terms/img/e.gif" data-src="https://dthumb-phinf.pstatic.net/?src=%22https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F4353_000_1%2F20160404162440733_PGRPGWRCD.jpg%2Fcd5_m29_1_i1.jpg%3Ftype%3Dw450_fst%23c450%22&twidth=56&theight=40&opts=17" alt="넓이 공식 모음"> <span class="mask"></span> </a> </div> </div> <div class="desc"> <a href="/entry.naver?docId=3350384" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);">넓이 공식 모음</a> <em class="cite"><a href="/list.naver?categoryId=60210">자주 찾는 수학 공식</a></em> </div> </li> <li class="section_item"> <div class="thumb_area"> <div class="thumb"> <a href="/entry.naver?docId=3350243" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);"> <img class="lazyLoadImage" src="https://ssl.pstatic.net/static/terms/terms/img/e.gif" data-src="https://dthumb-phinf.pstatic.net/?src=%22https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F4353_000_1%2F20160404162225202_VTMEH4SEZ.jpg%2Fcd5_m21_3_i1.jpg%3Ftype%3Dw450_fst%23c450%22&twidth=56&theight=40&opts=17" alt="각과 삼각형의 넓이 공식"> <span class="mask"></span> </a> </div> </div> <div class="desc"> <a href="/entry.naver?docId=3350243" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);">각과 삼각형의 넓이 공식</a> <em class="cite"><a href="/list.naver?categoryId=60210">자주 찾는 수학 공식</a></em> </div> </li> <li class="section_item"> <div class="thumb_area"> <div class="thumb"> <a href="/entry.naver?docId=5685120" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);"> <img class="lazyLoadImage" src="https://ssl.pstatic.net/static/terms/terms/img/e.gif" data-src="https://dthumb-phinf.pstatic.net/?src=%22https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F5542_000_2%2F20181112112039874_J21DBTRGE.jpg%2Fcd11_39_i1.jpg%3Ftype%3Dw450_fst_n%23c450%22&twidth=56&theight=40&opts=17" alt="삼각형의 넓이"> <span class="mask"></span> </a> </div> </div> <div class="desc"> <a href="/entry.naver?docId=5685120" onclick="markFrom('associate');nclk(this, 'rts.title', '', '', 1);">삼각형의 넓이</a> <em class="cite"><a href="/list.naver?categoryId=62910">중학수학 비주얼 개념사전 3학년 2학기</a></em> </div> </li> </ul> </div> <div class="section"> <h3 class="section_title">통합논술 개념어 사전 > 수리영역 <a href="/list.naver?cid=43669&categoryId=43669&so=st4.asc" class="more_link" onclick="nclk(this, 'ctl.more', '', '', 1);">전체보기</a> </h3> <ul class="section_list"> <li class="section_item"> <div class="thumb_area"> <div class="thumb"> <a href="/entry.naver?docId=2073769&categoryId=43669&contentsParamInfo=navCategoryId%3D43669%26isList%3Dfalse" onclick="markFrom('rel');nclk(this, 'ctl.title', '', '', 1);"> <img class="lazyLoadImage" src="https://ssl.pstatic.net/static/terms/terms/img/e.gif" data-src="https://dthumb-phinf.pstatic.net/?src=%22https%3A%2F%2Fdbscthumb-phinf.pstatic.net%2F2780_000_1%2F20140310173143456_1PA1X5ZI4.jpg%2Fz3_1059_i1.jpg%3Ftype%3Dw450_fst_n%23c344%22&twidth=56&theight=40&opts=17" alt="코사인법칙"> <span class="mask"></span> </a> </div> </div> <div class="desc"> <a href="/entry.naver?docId=2073769&categoryId=43669&contentsParamInfo=navCategoryId%3D43669%26isList%3Dfalse" onclick="markFrom('rel');nclk(this, 'ctl.title', '', '', 1);">코사인법칙</a> <em class="cite"> <a href="/list.naver?categoryId=43669">통합논술 개념어 사전 > 수리영역</a> </em> </div> </li> <li class="section_item selected"> <div class="thumb_area"> <div class="thumb"> <a 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