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
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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