SOLUTION: A parallelogram has sides of length 36.4 cm and 21.5 cm. If the longer diagonal has a length of 38.9 cm, what is the angle opposite this diagonal? I have tried drawing a picture

Algebra ->  Parallelograms -> SOLUTION: A parallelogram has sides of length 36.4 cm and 21.5 cm. If the longer diagonal has a length of 38.9 cm, what is the angle opposite this diagonal? I have tried drawing a picture      Log On


   

Question 252102: A parallelogram has sides of length 36.4 cm and 21.5 cm. If the longer diagonal has a length of 38.9 cm, what is the angle opposite this diagonal?
I have tried drawing a picture and setting up an equation but I cant figure it out.
Thanks

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: use the law of cosines a%5E2=b%5E2%2Bc%5E2-2bc%2Acos%28A%29 where 'a', 'b', and 'c' are the lengths of the triangle and 'A' is the angle opposite the side 'a'. So this problem will make a=38.9 and you'll let 'b' and 'c' be equal to the remaining values given. Let me know if this helps at all.