Question

use the pythagorean theorem to find the missing lengths.
27.9
24
16
19

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c$ is hypotenuse, $a=10$, $c=26$, solve for $b$.

Step2: Rearrange formula for $b$

$b^2 = c^2 - a^2$

Step3: Substitute values

$b^2 = 26^2 - 10^2 = 676 - 100 = 576$

Step4: Calculate square root

$b = \sqrt{576}$

Answer:

24