Question

Two opposite sides of a parallelogram each have a length of `4`. If one corner of the parallelogram has an angle of `(5 pi)/6` and the parallelogram's area is `44`, how long are the other two sides?

Answer 1

`=22`

Explanation:

Area`=ab sin theta` ;where `a=4`; `theta=(5pi)/6` and we have to find `b=?`
Area`=44=4b sin((5pi)/6)`
or
`bsin((5pi)/6)=44/4`
or
`b(0.5)=11`
or
`b=11/0.5`
or
`b=22`