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 3x7, while the hypotenuse is represented by 5x4. 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 = 3x7 = (5x4)/2
6 x  14 = 5 x  4
x = 10
3x7 = 23

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