# SOLUTION: A rhombus has sides of length 6 cm. One of its diagonals is 10 cm long. Find the length of the other diagonal ?

Algebra ->  Algebra  -> Parallelograms -> SOLUTION: A rhombus has sides of length 6 cm. One of its diagonals is 10 cm long. Find the length of the other diagonal ?       Log On

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 Question 170580: A rhombus has sides of length 6 cm. One of its diagonals is 10 cm long. Find the length of the other diagonal ? Answer by midwood_trail(310)   (Show Source): You can put this solution on YOUR website!A rhombus has sides of length 6 cm. One of its diagonals is 10 cm long. Find the length of the other diagonal ? The sides of a rhombus are the same measure. One diagonal measures 10m. This means that it is 5m + 5m. The two diagonals meet and form right angles. We can use the Pythagorean Theorem to find one leg of one of the right triangles formed inside the rhombus. 5^2 + x^2 = 6^2 25 + x^2 = 36 x^2 = 36 - 25 x^2 = 11 Take the square root of both sides. x = sqrt{11}. The other diagonal will be sqrt{11} + sqrt{11) = 2sqrt{11}m Did you follow?