If the bisectors of the base angles of a triangle enclose an angle of `135^0,` prove that the triangle is a right triangle.

The bisectors of base angles of a triangle cannot enclose a right angle in any case.

The bisectors of base angles of a triangle cannot enclose a right angle in any case.

If in a triangle r_1=r_2+r_3+r , prove that the triangle is right angled.

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

In a triangle ABC, 8R^2=a^2+b^2+c^2 prove that the triangle is right angled

If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.

If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.

If the bisector of the vertical angle of a triangle bisects the base of the triangle. then the triangle is isosceles. GIVEN : triangle A B C in which A D is the bisector of angle A meeting B C in D such that B D=DC TO PROVE : triangleA B C is an isosceles triangle.

Prove that the internal bisectors of the angles of a triangle are concurrent

One angle of a triangle is equal to one angle of another triangle and the bisectors of these two equal angles divide the opposite sides in the same ratio, prove that the triangles are similar.