Find the value of x using the Geometric Mean.  (Your answer will be numerical only and rounded to the nearest tenth.)

The problem involves finding the value of \( x \) using the Geometric Mean in a triangle. The Geometric Mean theorem, commonly known as the Altitude-on-Hypotenuse Theorem, states that in a right triangle, the altitude drawn to the hypotenuse creates two smaller right triangles that are similar to each other and to the original right triangle. 

This implies the following relationships:
- The altitude (h) to the hypotenuse is the geometric mean of the two segments it divides the hypotenuse into: \( h = \sqrt{a \cdot b} \).
- Each leg of the triangle is the geometric mean between the hypotenuse and the segment of the hypotenuse adjacent to the leg.

To proceed with solving, I need the specific lengths or labels given in the triangle on your screen. If you could provide those, I can calculate the value of \( x \) accordingly.

Could you describe the triangle's specific details or values related to \( x \)?

Discover how to find the value of x using the Geometric Mean in triangles. This problem explores the application of the Altitude-on-Hypotenuse Theorem, which relates the altitude drawn to the hypotenuse of a right triangle with the geometric mean of the segments it divides. Suitable for high school students.

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