Question 7

7.1 IN the diagram A , C , E and B are the vertices of a quadrilateral. ABC = 31o , BAC = 106o , BCE = 46o , AC= 4,6 cm, CE = 10 cm and BC = x.

7.1.1 Calculate the length of BC. (3)

7.1.2 Calculate the area of quadrilateral ACEB. (4)

7.2 In the diagram below, PTSR is a parallelogram. Q is the midpoint of PR. QS = 6 units, PT = 3 units, TS = 8 units, QT = x units and T, = θ .

7.2.1 Show that cosθ = (3)

7.2.2 Hence, determine the length of QT (6)

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