Question

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

96 in?

2

48 in2

O 48V3 in?

NEXT QUESTION

ASK FOR HELP

"search

C

Answer 1

`\sf Area= base * 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,
`\sf cos(30) = (h)/(8)`. Therefore, the height of the parallelogram is
`\sf 8\ cos(30) = 4*√((3))` Meaning the area is equal to
`\bold{48*√((3))}`