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UKMT Junior Mathematical Challenge, 2026

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

In the triangle shown, $S$ is a point on the base $PQ$ . The perimeter of triangle $PQR$ is $80$ cm. The perimeter of triangle $RPS$ is $44$ cm. The perimeter of triangle $RSQ$ is $60$ cm. What is the length of $RS$ ?

(A) $20$ cm (B) $18$ cm (C) $16$ cm (D) $14$ cm (E) $12$ cm

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