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

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

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

Show that the bisector of vertical angle of an isosceles triangle bisects the base at right angles.

The bisectors of the acute angles of a right triangle meet at O . Find the angle at O between the two bisectors.

If the bisectors of the acute angles of a right triangle meet at O , then the angle at O between the two bisectors is (a) 45^0 (b) 95^0 (c) 135^0 (d) 90^0

Prove that If the bisector of any angle of a triangle and the perpendicular bisector of its opposite side intersect, they will intersect on the circumcircle of the triangle.

If the bisector of an angle of a triangle bisects the opposite side, prove 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 bisectors of any two adjacent angles of a rhombus form a right angled triangle with common arm of the angles.

Prove that the angle between internal bisector of one base angle and the external bisector of the other base angle of a triangle is equal to one half of the vertical angle.