1998 WAEC Mathematics Theory Using a ruler and a pair of compasses only, construct (a) triangle QRT with |QR|...

Using a ruler and a pair of compasses only, construct (a) triangle QRT with |QR| = 8cm, |RT| = 6cm and |QT| = 4.5cm.

(b) a quadrilateral QRSP which has a common base QR with \(\Delta\)QRT such that QTP is a straight line, PQ || SR, |QP| = 9cm and |RS| = 4.5cm.

(i) Measure |PS| ; (ii) Find the perpendicular distance between RS and PQ ; (iii) What is QRSP?

(a)

(b)(i) PS = 6.0cm

(ii) Perpendicular disstance between RS and PQ i.e. RK = 5.9cm

(iii) QRSP is a trapezium.

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