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Given that, $AC=4, AB=5$ and $BC=6$. The area of $\triangle CXY$ can be expressed as $\frac{p\sqrt q}{r}$, where $p$ and $r$ are coprimes and $q$ is not divisible by the square of any prime. Find $p+q+r$.
Geometry
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Given that, $AC=4, AB=5$ and $BC=6$. The area of $\triangle CXY$ can be expressed as $\frac{p\sqrt q}{r}$, where $p$ and $r$ are coprimes and $q$ is not divisible by the square of any prime. Find $p+q+r$.