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2010 WAEC Mathematics Theory 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/.

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Explanation

(a)  

(b) /XT/ = 3.4 cm.


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