Question

given that
( Delta A B C sim D P Q R )
( angle B A C=angle Q P R )
( angle A B C=angle P Q R )
Now AD is angle bisec tor
of bitesc ( angle B A C )
PS in angle Gisector of ( angle ) PQR
Now in ( triangle A B D ) & ( Delta P Q S )
( angle B A D=angle Q P S[because text { as } angle B A C=angle Q P R] )
( angle A B D=angle P Q S[because angle A B C=angle P G B] )
( B y )
A A similarity criteria
( therefore quad frac{A B}{P Q}=frac{A D}{P S} )
Lence proved

# Prove that the ratio of corresponding sides of two similar triangles is the same as the ratio of their corresponding angle bisectors. 1 given fiure

Solution