Question 4 - 20 marks This question is based on your work on MU123 up to and including Unit 12. (a) Figure 5 shows a sketch of a triangle, where all side lengths are measured in centimetres. Find the length of the side marked a, giving your answer correct to one decimal place. [3 7.86 cm 520 T Figure 5 (b) Triangle ABC (not shown here) has a right angle at C. The length of side BC is 5.24 cm, and the length of side AC is 8.17 cm. Sketch the triangle and find ZABC, giving your answer correct to the nearest degree. [4] (c) Figure 6 shows the triangle DEF, with all side lengths measured in centimetres. E 4.58 cm F 5.89 cm 8.49 cm D Figure 6 (i) Find ZDEF, giving your answer correct to the nearest degree. [5) (ii) Find the area of triangle DEF, giving your answer correct to the nearest square centimetre. (3] (d) (i) Convert 27 to radians, leaving your answer in terms of T. 2 (ii) Use your answer from part (d) (i) to find the area of a sector of a circle of radius 22.5 cm and angle 27, giving your answer correct to one decimal place. [3]