`A B C` is a triangle in which `/_B` =2 `/_CdotD` is a point on `B C` such that `A D` bisects `/_B A C` and `A B=C D` . Prove that `/_B A C=72^0dot`

A B C is a triangle in which /_B=2/_C. D is a point on B C such that A D bisects /_B A C\ a n d\ A B=C D . Prove that /_B A C=72^@ .

In Figure, A B C is a triangle in which /_B=2/_C . D is a point on side B C such that A D bisects /_B A C a n d A B=C DdotB E is the bisector of /_B . The measure of /_B A C is 72^0 (b) 73^0 (c) 74^0 (d) 96^0

In Figure, A B C is a triangle in which /_B=2/_C . D is a point on side B C such that A D bisects /_B A C\ a n d\ A B=C D. B P is the bisector of /_B . The measure of /_B A C is (a) 72^0 (b) 73^0 (c) 74^0 (d) 96^0

A B C is a triangle in which A B=A C and D is any point in B C . Prove that A B^2-A D^2=B D C D .

A B C is an isosceles triangle with A B=A C and D is a point on A C such that B C^2=A CxC Ddot Prove that B D=B C

A B C is an isosceles triangle with A B=A C and D is a point on A C such that B C^2=A CXC D . Prove that B D=B C .

In /_\ A B C , if A D_|_B C and A D^2=B DxxD C , prove that /_B A C=90dot .

If A B C is an isosceles triangle and D is a point on B C such that A D_|_B C then,

In a \ A B C ,\ A D bisects /_A\ a n d\ /_C >/_Bdot Prove that /_A D B >\ /_A D C .

In Figure, /_B A C=90dot and segment A D_|_B C . Prove that A D^2=B DxxD C .