Two opposite sides of a parallelogram each have a length of #14 #. If one corner of the parallelogram has an angle of #(2 pi)/3 # and the parallelogram's area is #70 #, how long are the other two sides?

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Answer 1 · 2017-10-24T15:25:29

Length of other two sides **=5.7735#

Area of a parallelogram = l.h
Given l = 14 & area = 70
#:. h = 70 / 14 = 5#

If the other parallel side is b.
#h / b = sin (2pi)/3) sin (pi/3) color (white)(aaa) as sin (pi - theta) = sin theta and sin +ve# in second quadrant

#b = h / sin (pi/3) = 5/( sqrt3/2) = 10/sqrt3 # =5.7735