Two opposite sides of a parallelogram each have a length of #8 #. If one corner of the parallelogram has an angle of #(3pi)/8 # and the parallelogram's area is #36 #, how long are the other two sides?

Question

1137 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-24T23:03:41

Length of other two sides #=**4.1575**#

Area of a parallelogram = l.h
Given l = 8 & area = 36
#:. h = 36 / 8 = 4.5#

If the other parallel side is b.
#h / b = sin (3pi)/8) color (white)(aaa) as sin (pi - theta) = sin theta and sin +ve# in second quadrant

#b = h / sin ((3pi)/8) = 4.5 / sin ((3pi)/8) = **4.1575**#