The diagram shows a triangle ABC in which A is (3, 2) and B is (15, 22).

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The diagram shows a triangle ABC in which A is (3, −2) and B is (15, 22). The gradients of AB, AC and BC are 2m, −2m and m respectively, where m is a positive constant.

i. Find the gradient of AB and deduce the value of m.

ii. Find the coordinates of C.

The perpendicular bisector of AB meets BC at D.

iii. Find the coordinates of D.

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