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how would you solve for x in a 45-45-90 triangle if the hypotenuse is 9 square root 2

  • geometry -

    I assume x is the value of the other sides, (they are equal)
    the ratio of sides in a 45-45-90 triangle is 1:1:√2
    so x/1 = 9√2/√2

    x = 9

    check: 9^2 + 9^2= h^2
    h^2 = 162
    h = √162 = 9√2

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