+772 In triangle $PQR,$ 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 $\overline{PR}$. If $PQ = 8,$ $QR = 5,$ and $PR = 1,$ then compute the length of $\overline{XY}$.
+1804 mmm...let's note something really quickly.
In the problem, it said that
\(QR + PR < PQ \)
However, it said that PQR is a triangle, but this violates the Triangle Inequality Theorem.
So this problem is invalid.
thanks! :)
