Question

已知如图在△ABC中,AB=AC.点D,E在BC上且AD=AE.求证△ABD全等△ACE

Answer 1

证明：

∵AB=AC,

∴∠B=∠C

∵AD=AE,

∴∠ADE=∠AED,

又∵点D、E在BC边上,

∴∠ADB=∠AEC,

在△ABD和△ACE中,

∠ADB=∠AEC

∠B=∠C

AB=AC

∴△ABD≌△ACE