we know that The length of the altitude to the hypotenuse of a
right triangle is the geometric mean of the lengths of the two
segments of the hypotenuse h²=x*y where h is the length of the altitude to the hypotenuse h=12 x and y are the two
segments of the hypotenuse so 12²=x*y----------> 144=x*y
the lengths of the two segments of the hypotenuse could be x=6 y=24 x*y=144
