# 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

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

• geometry -

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

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