Question

Two opposite sides of a parallelogram each have a length of `2`. If one corner of the parallelogram has an angle of `(5 pi)/6` and the parallelogram's area is `32`, how long are the other two sides?

Answer 1

Other two sides are of length `32` units

Explanation:

Let "ABCD" is a parallelogram of which `AB=CD=2` and `/_A=/_C=5*180/6=150^0` Area of parallelogram side `AB*h` where h is the height. so `h=32/2=16 :. h/(AD)=sin150=1/2or AD=BC=2*h=2*16=32`[Ans}