Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = inches

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 16\) and \(b = 30\), the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), where \(c\) is the hypotenuse. So \(c^{2}=16^{2}+30^{2}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(16^{2}=16\times16 = 256\) and \(30^{2}=30\times30=900\). Then \(c^{2}=256 + 900=1156\).

Step3: Find \(c\)

Take the square root of both sides. \(c=\sqrt{1156}=34\).

Answer:

34