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In the figure below PQRS is a trapezium with QR parallel to PS.QR=6cm, RS=4cm, QS=9cm and PS=10cm
Mathf4et121p1qn4
Calculate

  1. The size of angle SQR
  2. The area of triangle PQS

1 Answer

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  1. The size of angle SQR 
    42=92+62-2 x 6 x 9 cosQ
    108cosQ=101
    Q = cos 10.9352
    Q =20.74º
  2. The area of triangle PQS 
    area of PQS
    = ½ x 9 x 10 sin 20.740
    = 15.94cm2
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