[16] 3 Refer to the diagram (not drawn to scale): In the diagram is a right-angled triangle. The point lies on and lies on such that D AB E AC DE//FC. = 12 units, = 4 units and = 12 units. BC AD DB a) Show that = 20 units. (2) AC b) Calculate, stating reasons, the size of: 1) (3) AE 2) (1) EC
[16] 3 Refer to the diagram (not drawn to scale): In the diagram is a right-angled triangle. The point D lies on AB and E lies on AC such that DE//FC. BC = 12 units, AD = 4 units and DB = 12 units. a) Show that AC = 20 units. (2) b) Calculate, stating reasons, the size of: 1) AE (3) 2) EC (1)