Question

Two opposite sides of a parallelogram each have a length of `18`. If one corner of the parallelogram has an angle of `(5 pi)/6` and the parallelogram's area is `48`, how long are the other two sides?

Answer 1

The length of other two sides are `5.33(2dp)` unit.

Explanation:

The angle is `(5pi)/6=5*180/6=150^0`.
We know the area of the parallelogram as `A_p=s_1*s_2*sin theta or 48 = 18*s_2*sin150 or s2= 48/(18*0.5) =48/9=16/3=5.33(2dp)`
The length of other two sides are `5.33(2dp)`unit[Ans]