Question

if the median to the hypotenuse of a right triangle measures 25 and a leg 14, find the measure of the other leg

Answer 1

One of the properties of any right-angled triangle:

The median to the hypotenuse is 1/2 the length of the hypotenuse, so ..
the hypotenuse must be 50
x^2 + 14^2 = 50^2
x^2 + 196 = 2500
x^2 = 2304
x = √2304 = 48