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SMO 2019 Senior Round 1 Question 19

SMO · SMO 2019 Senior Round 1

Question 19

The figure below shows a rectangle $ABCD$ with $AB=16$ cm and $BC=15$ cm. Let $P$ be a point on the side $BC$ such that $BP=7$ cm, and let $Q$ be a point on the side $CD$ such that $CQ=6$ cm. Find the length of $AR$ (in cm), where $R$ is the foot of the perpendicular from $A$ to $PQ$.

Question illustration