Points X and Y lie on sides AB and AC respectively of triangle ABC. If AB=7, AC=10, AX=4 and AY=8, what is the ratio of the area of triangle AXY to the area of triangle ABC?
This is very simple...
Let triangle ABC be the right triangle with angle A = 90 degrees.
[AXY] = 1/2(AX * AY) = 16
[ABC] = 1/2(AB * AC) = 35
[AXY] / [ABC] = 16 / 35