SOLUTION: two sides of a parallelogram measure 6cm and 7cm. find the lengths of the diagonals if both are integers

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Question 1006478: two sides of a parallelogram measure 6cm and 7cm. find the lengths of the diagonals if both are integers
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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7 and 11.

Seven and Eleven.

7%5E2+%2B+11%5E2 = 170 = 2%2A%286%5E2+%2B+7%5E2%29 = 2*(36 + 49) = 2*85.

In a parallelogram the sum of the squares of the diagonals equals the sum of the squares of the four sides.
See the lesson  The length of diagonals of a parallelogram  in this site.