SAT, 28.12.2021 14:00, keke830

In triangle $pqr,$ the side lengths are $pq = 9,$ $pr = 10,$ and $qr = 17. $ let $x$ be the intersection of the angle bisector of $\angle p$ with side $\overline{qr}$, and let $y$ be the foot of the perpendicular from $x$ to side $\overline{pr}$. Compute the length of $\overline{xy}$.

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In triangle $pqr,$ the side lengths are $pq = 9,$ $pr = 10,$ and $qr = 17. $ let $x$ be the intersec...