The figure below shows three right triangles joined at their right-angled vertices to form a triangular pyramid. Which of the following to length of XX?

The figure below shows three right triangles joined at their rightangled vertices to form a triangular pyramid Which of the following to length of XX class=

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Answer:

  d)  9 inches

Step-by-step explanation:

By the Pythagorean theorem:

  WZ² = 15² -12.5² = 68.75

  WX² = 13² -12.5² = 12.75

Then the length of XZ can be found from ...

  XZ = √(WZ² +WX²) = √81.5 ≈ 9.028 . . . . closest to 9 inches (choice D)

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