Question

在△ABC中AB的垂直平分线MN交AB于D点交AC于E点且AC=15cm△BCE的周长等于25cm

Answer 1

⑴∵MN是AB的垂直平分线,∴EA=EB,∴AC=EB+EC=15,而：BE+EC+BC=25,∴BC=10.⑵同理：EA=EB,∵∠A=36°,∴∠ABC =∠ACB =﹙180－36﹚／2=72°,∴∠EBA =36°,∴∠EBC =36°∴在△BCE中,∠BEC=72°∴BC=BE