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수학동아 - 폴리매스
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[창의 퍼즐] [기하]SA각형
△π 2020.05.02 07:46 조회 596
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페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

사각형 ABCD에서 각B+각C가 120도가 되고, AB=CD이면 이 사각형을 SA각형이라고 하자.

(1)사각형 ABCD가 SA각형이고, AC, BD, BC의 중점을 P,Q,R이라 할 때, 삼각형 PQR은 정삼각형임을 보여라.

(2)사각형 ABCD가 SA각형이고, 이 사각형의 외부에 ADE가 정삼각형이 되도록 점 E가 주어졌을 때, 삼각형 BCE는 정삼각형임을 보여라.

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