Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$c=\sqrt{a^{2}+b^{2}}$$
Here \(a = 4.2\), \(b=8.5\).

Step2: Substitute values

$$c=\sqrt{4.2^{2}+8.5^{2}}=\sqrt{17.64 + 72.25}=\sqrt{89.89}$$

Step3: Calculate the square - root

\(\sqrt{89.89}\approx9.5\)

Answer:

\(9.5\)