Question

what is the length of the missing leg? if necessary, round to the nearest tenth. b = inches

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c=10$, $a=6$. Rearrange to solve for $b$:
$b^2 = c^2 - a^2$

Step2: Substitute known values

$b^2 = 10^2 - 6^2 = 100 - 36$

Step3: Calculate and take square root

$b^2 = 64$, so $b = \sqrt{64}$

Answer:

8 inches