Solutions to this question by accurate drawing will not be accepted. B (2,16) A (0, 10)...

 

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Solutions to this question by accurate drawing will not be accepted. B (2,16) A (0, 10) C (8, 14) The diagram, which is not drawn to scale, shows a quadrilateral ABCD in which A is (0, 10), Bis (2, 16) and C is (8, 14). (i) Show that triangle ABC is isosceles. The point D lies on the x-axis and is such that AD = CD. Find [2] (ii) the coordinates of D [4] (iii) the ratio of the area of triangle ABC to the area of triangle ACD. [3] Solutions to this question by accurate drawing will not be accepted. B (2,16) A (0, 10) C (8, 14) The diagram, which is not drawn to scale, shows a quadrilateral ABCD in which A is (0, 10), Bis (2, 16) and C is (8, 14). (i) Show that triangle ABC is isosceles. The point D lies on the x-axis and is such that AD = CD. Find [2] (ii) the coordinates of D [4] (iii) the ratio of the area of triangle ABC to the area of triangle ACD. [3]