posted by karan .
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.
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.
radius = 3x-7 = (5x-4)/2
6 x - 14 = 5 x - 4
x = 10
3x-7 = 23