Geometric Mean with Right Triangles

In a right triangle, (a)   to the hypotenuse creates two similar right triangles.

In a right triangle, if the length of the altitude drawn to the hypotenuse is 6 units and the length of the segment of the hypotenuse adjacent to the altitude is 9 units, what is the length of the other segment of the hypotenuse?

What is the geometric mean of the lengths of the segments of the hypotenuse created by the altitude in a right triangle, if one segment is 4 units and the other is 9 units?

If the length of the altitude to the hypotenuse of a right triangle is equal to the geometric mean of the lengths of the segments of the hypotenuse it divides, and one segment is 8 units, what is the length of the altitude?

In a right triangle, the altitude to the hypotenuse divides the hypotenuse into segments of lengths 5 units and 12 units. What is the length of the altitude?

How does the altitude to the hypotenuse of a right triangle relate to the two segments of the hypotenuse it creates?

Given a right triangle with a hypotenuse of 13 units and one leg of 5 units, what is the length of the altitude drawn to the hypotenuse?

In a right triangle, if the altitude to the hypotenuse is 8 units and one segment of the hypotenuse is twice the length of the other, what is the length of the shorter segment?

What is the relationship between the lengths of the legs of a right triangle and the altitude drawn to the hypotenuse?

If the lengths of the segments of the hypotenuse created by the altitude in a right triangle are 7 units and 24 units, what is the length of the altitude?