PON is a diameter of the circle centred at O. TM is a tangent to the circle at M, a point on the circle. R is another point on the circle such that OR Il PM. NR and MN are drawn. Let ill = 66 0PON is a diameter of the circle centred at O. TM is a tangent to the circle at M, a point on the circle. R is another point on the circle such that OR Il PM. NR and MN are drawn. Let ill = 66 0
8.2 In the diagram, AAGH is drawn. F and C are points on AG and AH respectively such that AF = 20 units, FG ¯ 15 units and CH = 21 units. D is a point on FC such that ABCD is a rectangle with AB also parallel to GH. The diagonals of ABCD intersect at M, a point on AH. (3)
8.2.1 Explain why FC || GH. (1)
8.2.2 Calculate, with reasons, the length of DM. (5)
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