How do you find one of the coordinates on a kite

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Hi Math Community,

For part b), I tried to find the coordinates using length and gradient formula to form 2 simultaneous equation and solve for unknown x and y but still couldn't get the answer. Anyone here got any alternative methods? The answer for coordinates of )point F is (-34,-17).

Thanks.

Answer 1

By considering the areas. we can say that F is on EA produced such that FA : AE = 2 : 1. In other words, A divides FE internally in the ratio 2 : 1.

Can you take it from here?