Question

Two opposite sides of a parallelogram have lengths of `7`. If one corner of the parallelogram has an angle of `pi/12` and the parallelogram's area is `14`, how long are the other two sides?

Answer 1

`=7.73`

Explanation:

Area of the Parallelogram =`a` x `b` x `sintheta`
where a and b are sides and `theta` is the angle between them.
So we got `a=7` and `theta` = `pi/12` or `15^@`
We have to find out `b` = `?`

So we write
Area `=14=ab sintheta`
or
`14=7b sin15`
or
`bsin15=14/7`
or
`bsin15=2`
or
`b=2/sin15`
or
`b=2/0.26`
or
`b=7.73`