Question

Two opposite sides of a parallelogram each have a length of `3`. If one corner of the parallelogram has an angle of `(2 pi)/3` and the parallelogram's area is `18`, how long are the other two sides?

Answer 1

`b = 6.92`

Explanation:

Parallelogram `"Area" = b xx h`
If one angle is `2/3pi` the other is `pi/3`, so from the given side length 3 the height is `sin(pi/3) = h/3`
`h = 2.60`
`"Area" = b xx h`; `18 = b xx 2.60`; `b = 6.92`