What is the hypotenuse of a 1 inch square?

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  • 7 months ago

    The answer is sqrt(2) = ~1.414...

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  • David
    Lv 7
    7 months ago

    Using Pythagoras its diagonal or hypotenuse is the square root of 2 inches

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  • RR
    Lv 7
    7 months ago

    The diagonal of a square will be the hypotenuse of the two right angled triangles that make up the square.

    Use Pythagoras; The square on the hypotenuse = sum of squares on the other two sides.

    h^2 = 1^2 + 1^2

    h^2 = 1 + 1

    h^2 = 2

    h = 1.41 inches

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  • 7 months ago

    The diagonal of the square will measure 1.414 inches.

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  • 7 months ago

    As Jeff said, squares do not have hypotenuses. the diagonal is √2 inches.

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  • Como
    Lv 7
    7 months ago

    √ 2 is the hypotenuse length.

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  • 7 months ago

    By Pythagoras

    h^2 = 1^2 + 1^2

    h^2 = 2

    h = sqrt(2) (The hypotenuse).

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  • 7 months ago

    I assume you are looking for the diagonal of the square.

    You can use the Pythagorean Theorem:

    a² + b² = c²

    The sides (legs) are each 1 inch long. They hypotenuse (c) is unknown:

    1² + 1² = c²

    2 = c²

    Take the square root of both sides:

    c = √2 ≈ 1.414

    Answer:

    The diagonal would be about 1.414 inches long

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  • 7 months ago

    √2 = 1.414 inches

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  • 7 months ago

    Squares don't have hypontenuses, but if you mean diagonal, it's sqrt(2) inches, which is about 1.414 inches.

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