Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here \(a = 8\) and \(b=15\), so \(c^{2}=8^{2}+15^{2}\).

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

\(8^{2}=64\), \(15^{2}=225\). Then \(c^{2}=64 + 225=289\).

Step3: Find \(c\)

Since \(c^{2}=289\), then \(c=\sqrt{289}\).

Answer:

\(17\)