BE=BD+DECD=CE+ED\Rightarrow BE=CD(do BD=CE)\Rightarrow \triangle ABE=\triangle ACD\Rightarrow AE=AD\Rightarrow \triangle ABD=\triangle ACE(AB=AC;BD=CE;AD=AE)
BE=BD+DECD=CE+ED
$\Rightarrow BE=CD(do BD=CE)
$$\Rightarrow \triangle ABE=\triangle ACD
$$\Rightarrow AE=AD
$$\Rightarrow \triangle ABD=\triangle ACE(AB=AC;BD=CE;AD=AE)
$