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In an isosceles triangle ABC, with AB=AC,the bisector of angle B and angle C intersect each other at o. Join A to O. Show that: (1)OB=OC (2)AO bisect angle A

Posted by Dilkhush Kumar 5 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 5 years, 4 months ago

In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that:

(i) OB = OC
(ii) AO bisects ∠A.

<hr />

Given: In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O.
To Prove: (i) OB = OC
(ii) AO bisects ∠A.
Proof: (i) AB = AC | Given
∴ ∠B = ∠C
| Angles opposite to equal sides of a triangle are equal

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CBSE > Class 09 > Mathematics