Answer
$c=10$ ft
Work Step by Step
RECALL:
The Pythagorean Theorem states that in a right triangle,
$c^2=a^2+b^2$
where:
$a$ and $b$ are the lengths of the legs (non-hypotenuse sides)
$c$ is the length of the hypotenuse
Use the Pythagorean Theorem with a = 8 and b = 6 to obtain:
$c^2 = 8^2 + 6^2
\\c^2=64+36
\\c^2=100$
Take the square root of both sides to obtain:
$c = \pm \sqrt{100}
\\c = \pm \sqrt{10^2}
\\c = \pm 10$
Since $c$ represents a length, it cannot be negative.
Thus,
$c= 10 $ ft
