Question

find the length of the missing side.

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + b^2 = c^2$$
Let \(a = 5\), \(b=12\), we need to find \(c\).

Step2: Substitute values

$$5^2+12^2=c^2$$
$$25 + 144=c^2$$
$$169=c^2$$

Step3: Solve for \(c\)

Take square root of both sides: \(c=\sqrt{169}\)
\(c = 13\)

Answer:

\(13\) cm