Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

in a right triangle, a and b are the lengths of the legs and c is the l…

Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse
if a = 8 kilometers and b = 2 kilometers, what is the perimeter? if necessary, round to the nearest tenth.
$square$ kilometers
submit

Explanation:

Step1: Calculate hypotenuse length

$$c = \sqrt{a^2 + b^2} = \sqrt{8^2 + 2^2} = \sqrt{64 + 4} = \sqrt{68} \approx 8.2$$

Step2: Sum sides for perimeter

$$P = a + b + c = 8 + 2 + 8.2$$

Answer:

18.2 kilometers