Easy pickings
First we find the area of the big triangle (the one that has both the not shaded and the shaded)
20^2=400
400/2=200
Next we should find the area of the not shaded triangle.
15x10=150
150/2=75
200-75=125
Yay!
Area of large triangle - area of smaller triangle
1/2 20 * 20 - 1/2 10 * 15 = shaded area