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SMO 2017 Senior Round 1 Question 34

SMO · SMO 2017 Senior Round 1

Question 34

In the figure below, the lines $AB$, $AC$ and $PQ$ are tangent to the circle (with centre $O$) at the points $B$, $C$ and $R$ respectively. If the circle has radius 9 cm and the length of the line segment $OA$ is 15 cm, find the perimeter of $\triangle APQ$ in cm.

Question illustration