Question

find the length of the missing side.

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 5\) cm, \(b=12\) cm. Let the missing side (hypotenuse) be \(c\).

Step2: Substitute values

\(c^{2}=5^{2}+12^{2}\)
\(c^{2}=25 + 144\)
\(c^{2}=169\)

Step3: Solve for \(c\)

\(c=\sqrt{169}\)
\(c = 13\)

Answer:

\(13\) cm