Construct a quadrilateral PQRS in which PQ = 6 cm, QR = 7.5 cm, RS = PS = 6.8 cm, and PR = 9.8 cm.
Also, measure the length of its diagonal QS.
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Step-by-step explanation:
Steps of Construction:
(i) Construct a line segment QR = 5 cm.
(ii) At the point Q, construct a ray QX making an angle of 60
⋅
and cut off QP = 4 cm.
(iii) At the point R, construct a ray RY making an angle of 90
⋅
and cut off RS = 4.5 cm.
(iv) Now join PS.
Therefore, PQRS is the required quadrilateral.
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