# A geometry problem by Yan Yau Cheng

Geometry Level 2

In $\triangle ABC$, $AB=10$ and $AC=12$, $D$ is a point on line $BC$ such that line $AD$ bisects $\angle BAC$, The ratio $\frac {BD}{CD}$ can be expressed as $\frac pq$, where $p$ and $q$ are positive co-prime integers, find the value of $p+q$

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