[" Is triangle in which "/_B=2/_C" .D is isosceles."],[A=CD" .Prove that "/_BAC=72^(@)" ."]

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is the bisector of angleA . Prove that: BD = CD

ABC is a triangle in which /_B=2/_C*D is a point on BC such that AD bisects /_BAC and AB=CD. Prove that /_BAC=72^(@) .

ABC is a triangle in which /_B=2/_CD is a point on BC such that AD bisects /_BAC and AB=CD. Prove that /_BAC=72^(0) .

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^@ .

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

\ ABC is an isosceles triangle with A B=A C . Side B A is produced to D such that A B=A D . Prove that /_B C D is a right angle.

In the adjoining figure, ABC is an isosceles triangle in which AB = AC. Also, D is a point such that BD = CD. Prove that AD bisects /_ A and /_D

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 .

In triangle ABC, angle B is equal to twice of angle C,D is a point on BC such that AD bisects /_BAC and AB=AD .Prove that /_BAC=72^(@)

In an isosceles triangle ABC with AB = AC, BD is perpendicular from B to side AC. Prove that BD^(2)-CD^(2)=2CD.AD