Using ruler and a pair of compasses only, (a) construct (i) a quadrilateral PQRS with...

MATHEMATICS
WAEC 2010

Using ruler and a pair of compasses only,

(a) construct (i) a quadrilateral PQRS with /PS/ = 6 cm, < RSP = 9 cm, /QR/ = 8.4 cm and /PQ/ = 5.4 cm; (ii) the bisectors of < RSP and < SPQ to meet at X ; (iii) the perpendicular XT to meet PS at T.

(b) Measure /XT/.

Explanation

(a)construction of quadrilateral using compasses

(b) /XT/ = 3.4 cm.



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