Answer:
ZX ≈ 14.32 in
Step-by-step explanation:
The Pythagorean theorem states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. So that mean we can make the following equation...
[tex](ZX)^{2} = (XY)^{2} + (YZ)^{2} \\(ZX) = \sqrt{(XY)^{2} + (YZ)^{2}} \\(ZX) = \sqrt{3^{2} + 14^{2} } \\(ZX) = \sqrt{205} \\[/tex]
Therefor ZX ≈ 14.32 in
