# 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?

Nov 8, 2016

$8 \frac{\sqrt{3}}{3}$

#### Explanation:

Calculate the heigt respect 24 side

$A = h \cdot 24$

$h = \frac{A}{24} = \frac{96}{24} = 4$

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

$s = h \cdot \frac{2}{\sqrt{3}} = \frac{8}{\sqrt{3}} = 8 \frac{\sqrt{3}}{3}$