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.

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.

If the bisector of an angle of a triangle also bisects the opposite side, prove that triangle is isosceles.

If the bisector of an angle of a triangle bisects the opposite side,prove that the triangle is isosceles.

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.

If the bisector of an angle of a triangle bisects the opposite side, prove that the triangle is isosceles.

Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that angles of the triangle are 90^@-A/2,90^@-B/2 and 90^@-C/2 respectively.