The length of one leg of a right triangle is 3x the length of the other. The length of the hypotenuse is 10. What is the length of the longest leg?

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The length of one leg of a right triangle is 3x the length of the other. The length of the hypotenuse is 10. What is the length of the longest leg?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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x = x y = 3x x^2 + y^2 = 10^2 x^2 + (3x)^2 = 100 x^2 + 9x^2 = 100 10x^2 = 100 x^2 = 10 x=sqrt(10) y=3sqrt(10) if I did me math right

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