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CBSE Class 9 Answered

In an isosceles triangle ABC with AB = AC the bisector of B and C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisect A
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Given: An isosceles triangle ABC with AB = AC.

To prove : (1) OB = OC (2) AO bisector A

Construction: Join AO

Proof: ABC = ACB (given)

So OB = OC

(2) In AOB and AOC

OB = OC

AB = AC

AO = AO

Thus AOB ABC (By SSS)

Hence, OAB = OAC (By CPCT)

Answered by | 04 Jun, 2014, 03:23: PM
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