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, \(a = 27\) and \(b=36\). So \(c^2=27^2+36^2\).

Step2: Calculate \(27^2\) and \(36^2\)

\(27^2 = 729\), \(36^2=1296\). Then \(c^2=729 + 1296=2025\).

Step3: Find \(c\)

Since \(c^2 = 2025\), then \(c=\sqrt{2025}\). And \(\sqrt{2025}=45\).

Answer:

\(45\)