Foundation January 2019 Paper 1R Q18

EdexcelCurrent spec4 marksPythagoras

18

Triangle PQR with base PR; S is on PR with QS perpendicular to PR; PS = 5 cm, SR = 10 cm and QR = 14 cm

Diagram NOT accurately drawn

In triangle \(PQR\),

\(S\) is the point on \(PR\) such that angle \(RSQ = 90^\circ\)
\(RQ = 14\) cm
\(RS = 10\) cm
\(SP = 5\) cm

Work out the length of \(PQ\).

(4)