Algebra

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A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle's diagonal measurement is 46 inches, find the height.

  • Algebra -

    Use the Pythagorean theorem:

    a^2 + b^2 = c^2

    x = height
    x + 7 = width

    Therefore:

    x^2 + (x + 7)^2 = 46^2

    Expand and try to factor. If this does not factor easily, use the quadratic formula to solve.

  • Algebra -

    A rectangle is drawn so the width is 3 inches longer than the height. If the rectangle's diagonal measurement is 55 inches, find the height.

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