Question

answer attempt 1 out of 2

Explanation:

Step1: Identify formula for hypotenuse

For a right triangle, hypotenuse $c = \sqrt{a^2 + b^2}$, where $a=6$, $b=8$.

Step2: Calculate sum of squared legs

$$\begin{align*} a^2 + b^2 &= 6^2 + 8^2 \\ &= 36 + 64 \\ &= 100 \end{align*}$$

Step3: Compute square root of the sum

$c = \sqrt{100} = 10$

Answer:

10