Two opposite sides of a parallelogram each have a length of 36 . If one corner of the parallelogram has an angle of (5 pi)/12 and the parallelogram's area is 64 , how long are the other two sides?

1 Answer
Dec 15, 2016

~~1.84

Explanation:

Here's a demonstration for the problem
enter image source here
We need to find the length b in this problem

sin((5pi)/12)=h/36

h=36sin((5pi)/12)

To get an accurate solution we won't evaluate h until the last step

The area of parallelogram is given by ->color(red)A=bcolor(blue)h

color(red)A=color(red)64 and color(blue)h=color(blue)(36sin((5pi)/12))

color(red)64=b*color(blue)(36sin((5pi)/12))

b=color(red)64/color(blue)((36sin((5pi)/12)))

b~~1.84