Question

Two opposite sides of a parallelogram each have a length of `6`. If one corner of the parallelogram has an angle of `( pi)/3` and the parallelogram's area is `36`, how long are the other two sides?

Answer 1

The other two sides are of `6.93(2dp) unit` long each.

Explanation:

We know the area of the parallelogram as `A_p=s_1*s_2*sin theta`
Here `A_p=36 ; theta= 60^0 and s_1=6 :. s_2= 36/(6*sin60)=6/sin60 =6.93(2dp) unit`[Ans]