Question

find the length of the third side. if necessary, round to the nearest tenth.
(there is a right triangle with one leg labeled 6 and the hypotenuse labeled 10, and a blank for answer with attempt 1 out of 2 and student answer button)

Explanation:

Step1: Identify Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=10$ (hypotenuse), $a=6$, $b$ is unknown side.

Step2: Rearrange to solve for $b$

$b = \sqrt{c^2 - a^2}$

Step3: Substitute values and calculate

$b = \sqrt{10^2 - 6^2} = \sqrt{100 - 36} = \sqrt{64}$

Answer:

8