Answer:
21.001 cm
Step-by-step explanation:
The diagram shows right triangle with
Hypotenuse ZY = 22.3 cm
Leg XY = 7.5 cm
By the Pythagorean theorem,
[tex]XY^2+XZ^2=ZY^2\\ \\7.5^2+XZ^2=22.3^2\\ \\XZ^2=22.3^2-7.5^2\\ \\XZ^2=(22.3-7.5)(22.3+7.5)\\ \\XZ^2=14.8\cdot 29.8\\ \\XZ^2=441.04\\ \\XZ=\sqrt{441.04}\approx 21.001\ cm[/tex]
