Mathematics 4024 · O Level · Right-angled triangles

Right-angled triangles — practice question

Triangle $PQR$ is right-angled at $P$, with $\angle PRQ=38^\circ$ and $RQ=12\text{ cm}.$
(a)[2]

Find $PQ$.

(b)[4]

$S$ is a point for which angle $PRS$ is a right angle and $QS=10\text{ cm}.$ Calculate the two possible values of angle $QSR$.

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