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15 December, 06:30

What is the length of a leg in a 45-45-90 triangle is the hypotenuse is 8

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  1. 15 December, 09:20
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    The legs are both of length 4√2

    Step-by-step explanation:

    Let the length of one of the two equal legs be x. Then, by the Pythagorean Theorem, x^2 + x^2 = 8^2, or

    2x^2 = 64, or x^2 = 32 = 2 (16)

    Solving for x, x = 4√2. The legs are both of length 4√2.
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