Question

what is the length of the missing leg? if necessary, round to the nearest tenth. b = \boxed{} meters (there is a right triangle with hypotenuse 25 m, one leg 15 m, and the other leg b)

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=25$, $a=15$

Step2: Rearrange to solve for $b$

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

Step3: Substitute known values

$b^2 = 25^2 - 15^2 = 625 - 225 = 400$

Step4: Calculate square root of 400

$b = \sqrt{400}$

Answer:

20 meters