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Math Help - Diagonal distance??

  1. #1
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    Diagonal distance??

    Hey There,
    I have a problem, which I am having trouble figuring out.

    A rectangular dining room is 6.5 m long, 4.75 m wide and 2.45 m high. What is the distance from a corner on the floor to the opposite corner at the ceiling???
    So its from the bottom corner to the top corner diagonally.

    Using the pythagorean theroem.
    How do I compute this, show all work please, thanks.
    Joanne
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  2. #2
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    Quote Originally Posted by bradycat View Post
    Hey There,
    I have a problem, which I am having trouble figuring out.

    A rectangular dining room is 6.5 m long, 4.75 m wide and 2.45 m high. What is the distance from a corner on the floor to the opposite corner at the ceiling???
    So its from the bottom corner to the top corner diagonally.

    Using the pythagorean theroem.
    How do I compute this, show all work please, thanks.
    Joanne
    1. Calculate the length of the diagonal d (in green) of the floor using the right triangle with the legs w and l.

    2. Calculate the length of the diagonal of the room D (in red) using the right triangle with the legs d and h.
    Attached Thumbnails Attached Thumbnails Diagonal distance??-rechteckdiagonale.png  
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  3. #3
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    Thanks

    Thank you, I was not sure how to go about it, but now I do.
    Joanne
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