Solve for X (Geometry) Need some help ASAP

Given:

The figure of a right triangle.

To find:

The measure of x.

Solution:

According to the altitude on hypotenuse theorem, the length of the altitude is the geometric mean of segments of the hypotenuse.

Let "h" be the height  of the altitude and it divides the hypotenuse if two pieces of lengths "a" and "b", then

In the given figure, 14 is the height  of the altitude and it divides the hypotenuse if two pieces of lengths 24 and x. So, by using the altitude on hypotenuse theorem, we get

Taking square on both sides.

Therefore, the value of x is units and its approximate value is 8.167 units.