Question

the legs of a right triangle measure 6 meters and 8 meters. what is the length of the hypotenuse? a. 10 meters b. 14 meters c. 12 meters d. 100 meters

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $a=6$, $b=8$, $c$ is hypotenuse.

Step2: Calculate sum of squared legs

$6^2 + 8^2 = 36 + 64 = 100$

Step3: Solve for hypotenuse length

$c = \sqrt{100} = 10$

Answer:

A. 10 meters