Question

Q.2.In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of the triangle ABC.​

Answer 1

Answer:

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Also, AD is bisector of angle A. Now, BD subtends angle BOE at centre and half of its angle at point A. So, BD must be a chord. Therefore, D lies on a circle and it is proving that they intersect on the circumcircle of the triangle ABC.

Answer 2

Answer:

In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of the triangle ABC.