Question

Two opposite sides of a parallelogram each have a length of `12`. If one corner of the parallelogram has an angle of `( pi)/3` and the parallelogram's area is `48`, how long are the other two sides?

Answer 1

`=4.62`

Explanation:

Area`=ab sin theta` where `a=12` and `theta=pi/3`; we have to find `b=?`
So Area `=48=12 b sin(pi/3)`
or
`12 b sin(pi/3)=48`
or
`b sin(pi/3)=48/12`
or
`b(0.866)=4`
or
`b=4/0.866`
or
`b=4.62`