如图,∠BDA=∠CEA,AE=AD.求证:AB=AC.
问题描述:
如图,∠BDA=∠CEA,AE=AD.求证:AB=AC.
答
证明:在△ABD和△ACE中,
,
∠A=∠A AD=AE ∠BDA=∠CEA
∴△ABD≌△ACE(ASA),
∴AB=AC.