Question

find the missing side.

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 9\), \(c = 15\). Substitute into the formula: \(9^{2}+b^{2}=15^{2}\)

Step2: Simplify the equation

\(81 + b^{2}=225\)

Step3: Solve for \(b^{2}\)

\(b^{2}=225 - 81\)
\(b^{2}=144\)

Step4: Find \(b\)

\(b=\sqrt{144}\)
\(b = 12\)

Answer:

\(12\)