Find the area of a parallelogram with sides of 12 inches and 8 inches if one of the angles is 120

degrees

Area = base x height

We know that one angle is 120 degrees, and therefore obtuse.

By which, the angle is 30 degrees past what a square would be (90 degrees on all angles).

To solve for the height, we just need to use the cosine function. In this case, cos (30) = h/8. Therefore, the height of the parallelogram is 8cos (30) = 4*sqrt (3) Meaning the area is equal to 48*sqrt (3)