Two opposite sides of a parallelogram each have a length of #4 #. If one corner of the parallelogram has an angle of #( pi)/3 # and the parallelogram's area is #24 #, how long are the other two sides?

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Answer 1 · 2017-10-19T23:47:16

Length of other two parallel sides are 10.3923 each.

Area of parallelogram # = b * h = 24#
Refer diagram below :
enter image source here

Given #b = 4; h =( Area) / b = 24/4 = 6#

From the figure above, other pair of sides
#a = h / sin (pi/3) = 6 / (sqrt3/2) = 12/sqrt3 = 6sqrt3 = 10.3923#