Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here \(a = 3\), \(b = 5\). So \(3^{2}+5^{2}=c^{2}\).

Step2: Calculate squares

\(3^{2}=9\), \(5^{2}=25\). Then \(9 + 25=c^{2}\), i.e., \(c^{2}=34\).

Step3: Solve for \(c\)

\(c=\sqrt{34}\approx5.8\)

Answer:

\(5.8\)