Triangle abc is an isosceles triangle with ab equal ac. Prove that the bisector of angle a divides triangle abc into two congurent triangles

**Given :** Triangle ABC, AB = AC, angle BAD = angle CAD

To prove : Triangle BAD Triangle CAD

**Proof :**

In Triangle BAD and Triangle CAD

AB = AC Given

angle BAD = angle CAD Given

AD = AD Common

Triangle BAD Triangle CAD