Two opposite sides of a parallelogram each have a length of #5 #. If one corner of the parallelogram has an angle of #pi/4 # and the parallelogram's area is #15 #, how long are the other two sides?

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Answer 1 · 2018-07-18T11:49:12

The other sides are #=5sqrt2 u#

The area of a parallelogram is

#A=a*bsintheta#

The sides #a=5#

The angle #theta=pi/4#

The area is #A=15#

Therefore, the other sides are

#b=A/(sintheta)=15/(3*sin(pi/4))=5sqrt2#