Question

what is the measure, to the nearest tenth, of the missing side in the right triangle shown below? 14 8 7 11.5 22 16.5

Explanation:

Step1: Apply Pythagorean theorem

Let the missing side be \(a\), one side \(b = 8\) and hypotenuse \(c=14\). According to \(a=\sqrt{c^{2}-b^{2}}\).

Step2: Substitute values

Substitute \(c = 14\) and \(b = 8\) into the formula: \(a=\sqrt{14^{2}-8^{2}}=\sqrt{196 - 64}=\sqrt{132}\).

Step3: Calculate the value

\(\sqrt{132}\approx11.5\) (using a calculator).

Answer:

11.5