Two opposite sides of a parallelogram each have a length of #9 #. If one corner of the parallelogram has an angle of #(3pi)/8 # and the parallelogram's area is #36 #, how long are the other two sides?

Question

1086 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-06T06:17:26

The length of the other sides are #=4.33#

enter image source here

The sides #AB=DC=9#

The angle #hat(BAD)=3/8pi#

The area of #ABCD# is

#A=AD*AB*sin hat(BAD)=36#

Therefore,

#AD=BC=36/(AB*sin hat(BAD))#

#=36/(9*sin (3/8pi))#

#=4.33#