- 问题详情:已知:如图,△BCE、△ACD分别是以BE、AD为斜边的直角三角形,且BE=AD,△CDE是等边三角形.求*:△ABC是等边三角形.【回答】详解:∵△CDE是等边三角形,∴EC=CD,∠1=60°.∵BE、AD都是斜边,∴∠BCE=∠ACD=90°在Rt△BCE和Rt△ACD中,EC=DC,BE=AD∴Rt△BCE≌Rt△ACD(HL).∴BC=AC.∵∠1+∠2...
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