In an isosceles triangle ABC, with `AB = A C`, the bisectors of B and – InterviewSolution

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1.	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
Answer» 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` AB=AC `angleABO=angleACO` OB=OC `/_ABO cong /_ACO` `angleBAO=angleCAO`

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