如图,∠BDA=∠CEA,AE=AD.求证:AB=AC.

问题描述:

如图,∠BDA=∠CEA,AE=AD.求证:AB=AC.

证明:在△ABD和△ACE中,

∠A=∠A
AD=AE
∠BDA=∠CEA

∴△ABD≌△ACE(ASA),
∴AB=AC.