Question

find the missing side

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here, \(c = 23\), \(a=14\), and we need to find \(b\). So, \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

\(b^{2}=23^{2}-14^{2}\).
\(b^{2}=529 - 196\).
\(b^{2}=333\).

Step3: Calculate \(b\)

\(b=\sqrt{333}\approx18.2\).

Answer:

\(18.2\)