Home
Class 9
MATHS
In Delta ABC, AB = AC and the bisectors ...

In `Delta ABC`, AB = AC and the bisectors of angles B and C intersect at point O. Prove that :
(i) BO = CO
(ii) AO bisects angle BAC.

Text Solution

Verified by Experts

The correct Answer is:
`angleBAO=angleCAO`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ICSE|Exercise 4 MARKS QUESTIONS |24 Videos

  • TRIANGLES

    ICSE|Exercise QUESTIONS|8 Videos

  • STATISTICS AND GRAPH WORK

    ICSE|Exercise TOPIC - 2 (4 Marks Questions)|14 Videos

  • TRIGONOMETRICAL RATIOS

    ICSE|Exercise EXERCISE 22(B)|50 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC,AB=AC and the bisectors of angles B and C intersect at point O. Prove that BO=OC

In A B C ,A B=A C , and the bisectors of angles B and C intersect at point O . Prove that B O=C O and the ray A O is the bisector of angles B A Cdot

In A B C ,\ A B=A C , and the bisectors of angles B\ a n d\ C intersect at point Odot Prove that B O=C O\ and the ray A O is the bisector of angle B A C

In triangle LMN, bisector of interior angles at L and N intersect each other at point A. Prove that : AM bisects angle LMN.

In a tringle ABC, AB = AC and bisector of angle A meets BC at D. Prove that : (i) DeltaABD cong DeltaACD (ii) AD is perpendicular to BC.

In triangle ABC , the internal bisector of angle A angle B and angle C meet at point I . Prove that : (1)/(2) (AB+ BC + CA) lt AI+ BI + CI

In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2AD. Prove that: BP bisects angle B

In a triangle ABC , AB = AC and angle A = 36^(@) If the internal bisector of angle C meets AB at D . Prove that AD = BC.

The sides AB and AC of a triangle ABC are produced, and the bisectors of the external angles at B and C meet at P. Prove that if AB gt AC , then PC gt PB .

In triangle ABC,the bisector of interior angle A and the bisector angle C meet at point O. Prove that angle AOC=(1)/(2)angleB