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?

  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)

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

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