All submissions for this problem are available.Let ABC be a triangle with $AB = 13, BC = 14$ and $CA = 15$. Let $D$ be the foot of the altitude from $A$ to $BC$. The inscribed circles of triangles $ABD$ and $ACD$ are tangent to $AD$ at $P$ and $Q$, respectively, and are tangent to $BC$ at $X$ and $Y$, respectively. Let $PX$ and $QY$ meet at $Z$. Determine the area of triangle $XYZ$. Give your answer **rounded upto $2$ decimal places** only. **Note:** Remember that for each problem in this contest, you have only 3 attempts. After 3 unsuccessful submissions in any single problem, you will not be able to continue participation.
|Time Limit:||1 sec|
|Source Limit:||50000 Bytes|
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