Question

10 in.
6 in.
b
what is the length of the missing leg? if necessary, round to the nearest tenth.
b = □ inches
submit

Explanation:

Step1: Apply Pythagorean theorem

Let hypotenuse $c=10$, leg $a=6$. The theorem is $a^2 + b^2 = c^2$, so 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

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

Answer:

8 inches