Home
Class 9
MATHS
Bisectors of angles A, B and C of a tria...

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.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    SWAN PUBLICATION|Exercise Objective Type Questions (State whether the following statements are true (T) or false (F):)|10 Videos

  • CIRCLES

    SWAN PUBLICATION|Exercise Objective Type Questions (Fill in the Blanks :)|10 Videos

  • CIRCLES

    SWAN PUBLICATION|Exercise EXERCISE 10.5|12 Videos

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    SWAN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS |20 Videos

  • CONSTRUCTIONS

    SWAN PUBLICATION|Exercise EXERCISE 11.2|5 Videos

Similar Questions

Explore conceptually related problems

A line parallel to BC of a triangle ABC, intersects AB and AC at D and E respectively. Prove that (AD//DB) =( AE//EC) .

If the angles A,B and C of a triangle ABC satisty the relation 2B=A+C, find the measure of angle B .

Bisectors of the angles B and C of an isosceles triangle with AB=AC intersect each other at O. BO is produced to a point M. prove that angleMOC=angleABC .

Bisectors of angles B and C of an isoscels triangles ABC with AB=AC intersects each other at O. prove that external angle adjacent to angleABC is equal to angleBOC .

Let the angles A, B, C of triangle ABC be in A.P. and let b:c= sqrt3:sqrt2 . Then angle A is :

ABC is a right triangle such that AB=AC and bisector of angle C intersects the side AB at D. prove that AC+AD=BC.

Bisectors of the angles B and C of an isosceles triangle with ABC with AB=AC intersect each other at O. show that the external angle adjacent to angleABC is equal to angleBOC .

In the fig. ABC is a triangle in which AB=AC side BA is produced to D such that AB=AD prove that angle=BCD=90^@

A triangle ABC right angled at A has points A and B as (2, 3) and (0, -1) respectively. If BC = 5 units, then the point C is