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math

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The diagonal brace of a shipping crate is 53 inches. The length of the shipping crate is 45 inches. Find the height of the shipping crate.

if i would use a^2+b^2=c^2

would it be 53^2+45^2=c^2

is this right

  • math -

    That can't be right because the height would be longer than the diagonal brace.

    You're correct in using the Pythagorean Theorem, but let
    a = height
    b = length
    c = diagonal

  • math -

    so would i set it up as

    45^2 + 53^2 = H^2?

    not sure then how to set up, been working on this one awhile now.

  • math -

    a^2 + 45^2 = 53^2
    a^2 + 2025 = 2809
    a^2 = 784
    a = 28

  • math -

    Thank you!

  • math -

    You're welcome.

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