Question

find the measure of the missing side length in the right triangle below
the missing side length is

Explanation:

Step1: Identify Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=\sqrt{10}$ (hypotenuse), $a=3$, $b$ is unknown.

Step2: Rearrange to solve for $b^2$

$b^2 = c^2 - a^2$
$b^2 = (\sqrt{10})^2 - 3^2$

Step3: Calculate each term

$b^2 = 10 - 9 = 1$

Step4: Solve for $b$

$b = \sqrt{1} = 1$

Answer:

1