Posted by **karan** on Saturday, January 7, 2012 at 2:59pm.

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 -
**Damon**, Saturday, January 7, 2012 at 3:33pm
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 -
**Damon**, Saturday, January 7, 2012 at 3:34pm
http://en.wikipedia.org/wiki/Thales%27_theorem

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