Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here, \(a = 72\), \(b = 30\). So \(c^{2}=72^{2}+30^{2}\).

Step2: Calculate \(72^{2}\) and \(30^{2}\)

\(72^{2}=72\times72 = 5184\), \(30^{2}=30\times30=900\). Then \(c^{2}=5184 + 900=6084\).

Step3: Find \(c\)

\(c=\sqrt{6084}\). Since \(78\times78 = 6084\), so \(c = 78\).

Answer:

\(78\)