Two opposite sides of a parallelogram each have a length of #1 #. If one corner of the parallelogram has an angle of #(3 pi)/4 # and the parallelogram's area is # 4 #, how long are the other two sides?

Question

1432 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-28T13:25:21

The area of a parallelogram can be calculated as the product of two consecutive sides by the sine of the angle between them.

#A = a*b*sin(a/_b)#

#4= 1*b*sin((3pi)/4)#

#4 = b*sqrt(2)/2#

#b=4sqrt(2)#