Question

Two opposite sides of a parallelogram each have a length of `2`. If one corner of the parallelogram has an angle of `(7 pi)/8` and the parallelogram's area is `3`, how long are the other two sides?

Answer 1

`=3.92`

Explanation:

Area `=3=ab sin theta` where `a=2` and `theta=7pi/8` ;we have to find `b=?`
`3=2b sin(7pi/8)`
or
`b sin(7pi/8)=3/2`
or
`b(0.383)=1.5`
or
`b=1.5/0.383`
or
`b=3.92`