如图,AB=AC,AD=AE,∠BAC=∠DAE.求证:△ABD≌△ACE.
问题描述:
如图,AB=AC,AD=AE,∠BAC=∠DAE.求证:△ABD≌△ACE.
答
证明:∵∠BAC=∠DAE,
∴∠BAC+∠CAD=∠DAE+∠CAD,
即∠BAD=∠EAC,
在△ABD和△ACE中
,
AB=AC ∠BAD=∠EAC AE=AD
∴△ABD≌△ACE.