Answer
$c\approx 7.2$ in.
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 = 6 and b = 4 to obtain:
$c^2 = 6^2 + 4^2
\\c^2=36+16
\\c^2=52$
Take the square root of both sides to obtain:
$c = \pm \sqrt{52}$
Use a scientific calculator to obtain:
$c = \pm 7.211102551
\\c = \pm 7.2$
Since $c$ represents a length, it cannot be negative.
Thus,
$c\approx 7.2$ in.
