Question

Two opposite sides of a parallelogram each have a length of `7`. If one corner of the parallelogram has an angle of `(2 pi)/3` and the parallelogram's area is `35`, how long are the other two sides?

Answer 1

Other two sides are `5.7735` units.

Explanation:

Area of a parallelogram is given by `axxbxxsintheta`,

where `a` and `b` are two sides of a parallelogram and `theta` is the angle included between them.

As one side is `7`; included angle is `(2pi)/3` and area is `35` we have

`7xxbxxsin(2pi)/3)=35` or `b=35/(7xxsin((2pi)/3))=5xx2/sqrt3=10sqrt3/3=5.7735`

Hence, other two sides are `5.7735` units.