geometry
posted by karan .
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.

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 