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In triangle PQR, the side lengths are PQ = 9, PR = 10, and QR = 17. Let X be the intersection of the angle bisector of angle $ with side QR, and let Y be the foot of the perpendicular from X to side PR. Compute the length of XY.

 Mar 20, 2020
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By the angle bisector theorem, XY = 7/2.

 Mar 21, 2020

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