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In an isosceles triangle ABC, with AB =...

In an isosceles triangle ABC, with `AB = A C`, the bisectors of B and C intersect each other at O. Join A to O. Show that :
(i) `O B = O C`
(ii) AO bisects A

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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