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

In a parallelogram; the bisectors of any two consecutive angles intersect at right angle.

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.

Which of the following statements are true (T) and which are false (F): Sum of the three angles of a triangle is 180^0 A triangle can have two right angles. All the angles of a triangle can be less than 60^0 All the angles of a triangle can be greater than 60^0 All the angles of a triangle can be equal to 60^0 A triangle can have two obtuse angles. A triangle can have at most one obtuse angles. In one angle of a triangle is obtuse, then it cannot be a right angled triangle. An exterior angle of a triangle is less than either of its interior opposite angles. An exterior angle of a triangle is equal to the sum of the two interior opposite angles. An exterior angle of a triangle is greater than the opposite interior angles