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March 28, 2017

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Find the length of d in simplest radical form of he diagonal of a cube with sides of s units.

  • Geometry - ,

    diagonal of a square is √(s^2+s^2) = s√2
    diagonal of a cube is √(s^2+s^2+s^2) = s√3

    Think of it as the hypotenuse of a triangle perpendicular to the base, where one leg is the base diagonal (s√2) and the height is s, making the hypotenuse
    h^2 = 2s^2 + s^2 = 3s^2

  • Geometry - ,

    each triangle is a 45 degrees-45 degrees-90 degrees.find the value x

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