Question

in a right triangle, $a$ and $b$ are the lengths of the legs and $c$ is the length of the hypotenuse. if $a = 1.8$ millimeters and $b = 6.3$ millimeters, what is the perimeter? if necessary, round to the nearest tenth. ____ millimeters

Explanation:

Step1: Calculate hypotenuse $c$

$$c = \sqrt{a^2 + b^2} = \sqrt{1.8^2 + 6.3^2} = \sqrt{3.24 + 39.69} = \sqrt{42.93} \approx 6.55$$

Step2: Calculate perimeter

$$P = a + b + c = 1.8 + 6.3 + 6.55$$

Answer:

14.7 millimeters