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From the image you provided, it appears we are dealing with a geometric problem involving a rectangle and two right triangles. To determine the dimension \( x \), we can apply the Pythagorean theorem.

Here are the key dimensions from the diagram:
- One triangle is formed with sides 12 m (height) and 12 m (width).
- Another triangle is formed with sides 7 m and 5 m.

Since both triangles are right-angled, we can use the Pythagorean theorem in both cases to solve for \( x \), the diagonal of the rectangle.

### Step 1: Identify the right triangles.
- For the triangle with sides 12 m and \( x \), use the Pythagorean theorem:
  \[
  12^2 + x^2 = 12^2
  \]
  
- For the second triangle with sides 7 m and 5 m:
  \[
  x^2 + 5^2 =

Learn how to determine the dimension x in a geometric figure involving two right triangles using the Pythagorean theorem. The problem provides key dimensions, including sides of 12 m, 7 m, and 5 m. A step-by-step solution is provided to calculate the diagonal using mathematical concepts and geometry.

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