Given trapezoid WXYZ, find the ratio of the areas of each pair of triangles:

Question

WYX and XYZ
WXZ and WXY

Answer 1

I am saying xy and wz are parallel (does not matter but choosing that)
defining:
wz = a
xy = b
height common is h
then

Awyx = .5 h b
Axyz = .5 h a
ratio = b/a

Awxz = .5 h a
Awxy = .5 h b
ratio = a/b