2026 NORTHBROOKS P1 Q12

2026 NORTHBROOKS P1 Q12

Secondary 4
3 marks

Triangle \(PQR\) is a right-angled triangle.

\(S\) is a point on \(PR\) such that \(QS=QR\).

\(T\) is a point on \(PQ\) such that \(PT=ST\).

Angle \(PST=x\).

Show that angle \(RQS=2x\).

Give a reason for each step of your working.[3]

Solution:

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Answer:\(\angle RQS=2x\) (shown).

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