Question

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

\\(c =\\) feet

Explanation:

Identify the given side lengths

$$ a = 2\text{ ft},\quad b = 8\text{ ft} $$

Apply the Pythagorean theorem

$$ c^2 = a^2 + b^2 = 2^2 + 8^2 = 4 + 64 = 68 $$

Solve for c and round to the nearest tenth

$$ c = \sqrt{68} \approx 8.246 \approx 8.2\text{ feet} $$

Answer:

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

\(c =\) <blank>8.2</blank> feet