Two opposite sides of a parallelogram each have a length of #24 #. If one corner of the parallelogram has an angle of #( pi)/3 # and the parallelogram's area is #96 #, how long are the other two sides?

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Answer 1 · 2016-11-08T16:36:25

#8sqrt3/3#

Calculate the heigt respect 24 side

#A=h*24#

#h=A/24=96/24=4#

Then being #alpha=pi/3=60°# then the other side is the equivalent to the side of an equilaterus with height 4, so

#s=h*2/sqrt3=8/sqrt3=8sqrt3/3#