Question

question 4 5 pts canvas.uti.edu

Explanation:

Step1: Apply Pythagorean theorem

In right - triangle ABC with right - angle at A, by the Pythagorean theorem \(BC^{2}=AB^{2}+AC^{2}\). We know \(BC = 13\) and \(AB = 5\), and we want to find \(AC\). So, \(AC=\sqrt{BC^{2}-AB^{2}}\).

Step2: Substitute values

Substitute \(BC = 13\) and \(AB = 5\) into the formula: \(AC=\sqrt{13^{2}-5^{2}}=\sqrt{169 - 25}=\sqrt{144}\).

Step3: Calculate the square - root

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

Answer:

12