Question: Q4. (a) In a triangle ABC, the three sides have lengths a, b and c where a = 20 cm, b =16cmand . c=14cm .

Q4. (a) In a triangle ABC, the three sides have lengths a, b and c where a = 20 cm, b =16cmand . c=14cm . Find the area of the triangle. (3 marks) (b) Given tan 0 = 2 and O is in quadrant III. Without using a calculator, find (i) sin 0 (2 marks) (ii) sec (~ - 0) (2 marks) (c) Figure 4.1 shows a quadrilateral ABCD. B B 9 cm 7 cm 210 C A 6 cm 10 cm D Figure 4.1 (i) Without finding the angles, show that 20cosy =1+21cos B. (4 marks) (ii) Given B is an obtuse angle. Find the length of AC. (4 marks)

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