如图,d.e是△abc的边bc上两点,且ab=ac,ae=ad,试说明∠BAD=∠CAE
问题描述:
如图,d.e是△abc的边bc上两点,且ab=ac,ae=ad,试说明∠BAD=∠CAE
答
ab=ac,则∠ABC=∠ACB;
ae=ad,则∠ADE=∠AED,且∠ADB=180-∠ADE,∠AEC=180-∠AED;
则∠ADB=∠AEC;
△ABD与△ACE相似,∠BAD=∠CAE