Position of incentrere of an isosceles triangle
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Note the way the three angle bisectors always meet at the incenter. One of several centers the triangle can have, the incenter is the point where the angle bisectors intersect. The incenter is also the center of the triangle's incircle - the largest circle that will fit inside the triangle.
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Simply construct the angle bisectors of the three angles of the triangle. The point where the angle bisectors intersect is the incenter. Actually, finding the intersection of only 2 angle bisectors will find the incenter.
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