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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

In an isosceles triangles
AB=AC=>`angleC=angleB`
`angleABO=angleCBO=1/2angleB`
`angleACO=angleBCO=1/2angleC`
In `/_OBC`
`angleCBO=angleBCO`
OB=OC
In `/_ABO and /_ACO`
...
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