Question

use the pythagorean theorem to find the missing length in the right triangle.

Explanation:

Step1: Recall Pythagorean Theorem

For a right triangle with legs $a, b$ and hypotenuse $c$, $a^2 + b^2 = c^2$

Step2: Substitute given values

$a=6$, $b=8$, so $6^2 + 8^2 = c^2$

Step3: Calculate squared terms

$36 + 64 = c^2$

Step4: Simplify to solve for $c$

$100 = c^2$, so $c = \sqrt{100}$

Answer:

10