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geometry

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the length of the median drawn to the hypotenuse of a right triangle is represented by 3x-7, while the hypotenuse is represented by 5x-4. Find the length of the median.

  • geometry -

    If you do not know Thale's Theorem then look it up.
    Briefly a right triangle can be inscribed in a circle with the hypotenuse as a diameter and therefore the middle of the hypotenuse as a radius. Then the right angle is also on the circle at the same distance from the center of the circle.
    Thus
    radius = 3x-7 = (5x-4)/2

    6 x - 14 = 5 x - 4
    x = 10
    3x-7 = 23

  • geometry -

    http://en.wikipedia.org/wiki/Thales%27_theorem

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