Question

Two opposite sides of a parallelogram each have a length of `15`. If one corner of the parallelogram has an angle of `(2 pi)/3` and the parallelogram's area is `60`, how long are the other two sides?

Answer 1

`2sqrt(3)~~3.464`

Explanation:

Given an Area `=60` (sq.units)
and a side of length `15`
the height, `h`, relative to that side must be `h=60/15=4`

From the diagram above we can see that the other sides of the parallelogram must be
`color(white)("XXX")4*sin(pi/3) = 4 * sqrt(3)/2 = 2sqrt(3) ~~3.464`