Question

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?

Answer 1

d) 9 inches

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)