Question

1. xz = ____________

Explanation:

Step1: Identify the theorem

Use the Pythagorean theorem for right - triangle \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here \(a = 3\), \(b = 14\), and \(XZ\) is the hypotenuse.

Step2: Substitute values

\(XZ=\sqrt{3^{2}+14^{2}}=\sqrt{9 + 196}\).

Step3: Calculate

\(\sqrt{9+196}=\sqrt{205}\approx 14.32\) inches.

Answer:

\(\sqrt{205}\text{ inches}\approx14.32\text{ inches}\)