SOLUTION: A parallelogram has sides 22cm and 10 cm, and one of its angles is 130 degrees. Find the lengths of the diagonals, correct to the nearest mm.

Algebra ->  Parallelograms -> SOLUTION: A parallelogram has sides 22cm and 10 cm, and one of its angles is 130 degrees. Find the lengths of the diagonals, correct to the nearest mm.       Log On


   

Question 1112941: A parallelogram has sides 22cm and 10 cm, and one of its angles is 130 degrees. Find the lengths of the diagonals, correct to the nearest mm.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
130%2B50=180 for two adjacent corners of the parallelogram

For the diagonal opposite the 130 degree angle
sqrt%2810%5E2%2B22%5E2-2%2A10%2A22%2Acos%28130%29%29

The diagonal opposite the 50 degree angle
sqrt%2810%5E2%2B22%5E2-2%2A10%2A22%2Acos%2850%29%29