SOLUTION: The sides of a parallelogram are 55 cm and 84cm. The smaller angle of the parallelogram is 42 degrees. Find the length of the longer diagonal.

Question 1125745: The sides of a parallelogram are 55 cm and 84cm. The smaller angle of the parallelogram is 42 degrees. Find the length of the longer diagonal.
Answer by ikleyn(52818) (Show Source): You can put this solution on YOUR website!
.

1.  Make a sketch.


2.  Apply the law of cosines.


3.  Use the supplementary angle of 180-42 = 138 degrees as the angle between the given sides of the parallelogram.

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