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0
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avatar+842 

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 $\overline{XY}$.

 Mar 18, 2024
 #1
avatar+128406 
+1

Impossible

QR + PR  < PQ

Which violates the Triangle Inequality Theorem

 

cool cool cool

 Mar 19, 2024

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