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