1.
In an isosceles triangle ABC, with AB = AC, the bisectors of angle B and angle C intersect
each other at 0. Join A to 0. Show that:
А
(1) OB = OC
(ii) AO bisects angle A
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Answer:
1️⃣ OB = OC
2️⃣ AO is angel bisector of angle
in ∆aob and ∆aoc
ab = ac (equal sides of isoceles triangle)
angle abo = angle aco (angle bisector given in ques.)
ao = ao ( common side)
therefore both the triangle are congruent.
So ob=oc
and oa is angle bisector of angle ABC.
hope this helps.
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