Mathematics

Problem

In figure, AP, AQ and BC are tangents to the circle. If

AB = 5

cm,

AC = 6

cm and

BC = 4

cm, then the length of AP (in cm) is ![Diagram showing a circle inscribed in triangle ABC. AP and AQ are tangents from vertex A, and BC is a tangent segment. P and Q are points of tangency on AB and AC respectively. R is a point on BC.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/4b576fb4f41743f6aae37c58da64dde3/935eed7aa61f7777f62cfc032e11bee9_img.jpg) (a) 7.5 (b) 15 (c) 10 (d) 9

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