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Prove that If the bisector of any ang...

Prove that If the bisector of any angle of a triangle and the perpendicular bisector of its opposite side intersect, they will intersect on the circumcircle of the triangle.

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To prove that the bisector of any angle of a triangle and the perpendicular bisector of its opposite side intersect on the circumcircle of the triangle, we will follow these steps: ### Step-by-Step Solution: 1. **Draw Triangle and Identify Points**: - Let triangle ABC be given with vertices A, B, and C. - Let AD be the angle bisector of angle A, where D is a point on the circumcircle of triangle ABC. ...
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