If the bisector of the angle A of triangle ABC meets BC in D, prove that `a=(b+c)[1-[AD]^2/[bc]]^[1/2]`

In triangle ABC,the bisector of interior angle A and the bisector angle C meet at point O. Prove that angle AOC=(1)/(2)angleB

In triangle ABC,the bisector of interior angle A and the bisector angle C meet at point O. Prove that angle AOC=(1)/(2)angleB

ABC is a right angled with AB=AC. Bisector of angleA meets BC at D. prove that BC=2AD

The bisectors of the angles ABC and BCA of a triangle ABC meet in a point 0. What is the angle at O facing the side BC ?

In triangle ABC , the internal bisector of angle A angle B and angle C meet at point I . Prove that : (1)/(2) (AB+ BC + CA) lt AI+ BI + CI

Internal bisector of an angle angle A of triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and the side AB at F. If a, b, c represent the sides of DABC then

The bisectors of the angles B and C of a triangle ABC, meet the opposite sides in D and E respectively.If DE|BC, prove that the triangle is isosceles.

Triangle ABC is similar to triangle PQR. If bisector of angle BAC meets BC at point D and bisector of angle QPR meets QR at point M, prove that : (AB)/(PQ) = (AD)/(PM)

The bisectors of the angles B and C of a triangle A B C , meet the opposite sides in D and E respectively. If DE||BC , prove that the triangle is isosceles.

ABC is a right triangle with AB = AC.If bisector of angle A meet BC at D then prove that BC =2 AD .