What is the distance?

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Ananya Promi
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What is the distance?

Unread post by Ananya Promi » Fri Mar 30, 2018 10:03 pm

Let $ABC$ be a triangle with $AB=26, AC=28, BC=30$. Let $X, Y, Z$ be the midpoints of arcs $BC, CA, AB$ (not containg the opposite vertics) respectively on the circumcircle of triangle $ABC$. Let $P$ be the midpoint of arc $BC$ containing point A. Suppose, lines $BP$ and $XZ$ meet at $M$, while lines $CP$ and $XY$ meet at $N$. Find the square of the distance from $X$ to $MN$.

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samiul_samin
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Re: What is the distance?

Unread post by samiul_samin » Mon Apr 02, 2018 11:49 pm

Solution is given here..

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