math

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A square is 7 meters on a side. To the nearest tenth of a meter, how long is the diagonal of the square?

A: 9.8
B: 9.9
C: 10.0
D: 14.0

  • math -

    The diagonal of a square forms two
    45-45-90 triangles.

    The sides of a 45-45-90 triangle are in the ratio,
    a : b : hypotenuse
    x : x : x(sqrt(2))

    The diagonal is the hypotenuse of this 45-45-90 triangle.

    Side = 7
    7 * (sqrt(2)) = ?

  • math -

    a^2 + b^2 = c^2
    7^2 + 7^2 = c^2
    49 + 49 = 98

    c = square root of 98

    Be sure to round to the nearest tenth.

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