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What is the ratio of the side lengths in a 45-45-90 triangle?

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1 : 1 : √2

In an isosceles right triangle, the two legs are of equal length. By the Pythagorean Theorem, the hypotenuse is the leg length multiplied by the square root of 2.

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  • What is the ratio of the legs to the hypotenuse in a 45-45-90 triangle?

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