The bisector of interior `angleA of triangleABC` meets BC in D, and the bisector of exterior angle `angleA `meets BC produced in E. prove that `(BD)/(BE)= (CD)/(CE)`

The bisector of interior /_A of A B C meets B C in D , and the bisector of exterior /_A meets B C produced in Edot Prove that (B D)/(B E)=(C D)/(C E)dot

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)

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

If the bisector of angle A of the triangle ABC makes an angle theta with BC , then sintheta=

Prove that the internal bisector of the angle A of a triangle ABC divides BC in the ratio AB:AC

In the adjoining figure, AB gt AC and the angle bisectors of angleB and angleC meet at point P. Prove that PB gt PC .

In DeltaABC, AB = AC and the bisectors of angleB and angleC meet AC and AB at point D and E respectively. Prove that BD = CE .

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

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 bisectors of the interior angles of a rectangle form a square.