The hypotenuse of a right triangle is 10m long. the longer leg is 2m longer than the shorter leg. find the side lengths of the triangle.

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Mathematics

Brie

8 October, 06:55

The hypotenuse of a right triangle is 10m long. the longer leg is 2m longer than the shorter leg. find the side lengths of the triangle.

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Isabela Swanson · Answer 1

Based on Pythagorasâ€™s Theorem: x^2 + (x+2) ^2 = 10^2 2x^2 + 4x + 4 = 100 X^2 + 2x - 48 = 0 (x + 8) (x - 6) = 0 Solving for x = 6, the sides are 6m and 8m.