Probe tjat of tje bisector of any angle of a triangle and the erpendicular bisector of its opposite side intersect they will intersect on the circumcircle of the triangle.
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Similarly, the circle passing through A, B and D is the circumcircle of triangle ABC. Thus, P lies on the circumcircle of triangle ABC. Hence, 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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Prove that bisected angle
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