In a `Delta ABC,` the exterior `/_A` is greater than twice the `/_C.` Prove that `AC > AB.`

In a triangle exterior angle is always greater than :

AD is a median of triangle ABC. Prove that : AB+AC gt 2AD

In a Delta ABC, the bisectors of ext /_B and ext /_C meet at D. If BD>CD, then prove that AC>AB.

In Delta ABC,AB=AC and the bisectors of /_B and /_C meet at a point O. Prove that BO=CO and the ray AO is the bisector of /_A.

Delta ABC is a right triangle right angled at A such that AB=AC and bisector of /_C intersects the side AB at D.Prove that AC+AD=BC .

In a triangle ABC the angle A is twice the angle C, the side BC is 2 cm longer than the side AB, and AC=5 cm. Find AB and BC.

ABC is a right triangle such that AB=AC and bisector of angle C intersects the side AB at D. prove that AC+AD=BC.

ABC is a triangle.The bisector of the exterior angle at B and the bisector of /_C intersect each other at D. Prove that /_D=(1)/(2)/_A

In a triangle ABC , AB = AC and angle A = 36^(@) If the internal bisector of angle C meets AB at D . Prove that AD = BC.

Prove that the perimeter of a triangle is greater than the sum of the three medians. GIVEN: A o+ ABC in which AD,BE and CF are its medians.TO PROVE: AB+BC+AC>AD+BE+CF