A geometry problem by Yan Yau Cheng

Geometry Level 2

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

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