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.

Algebra ->  Parallelograms -> 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.       Log On


   

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(52817) About Me  (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.