Question

the lengths of the two legs of a right triangle are 4 centimeters and 8 centimeters. the length (h), in centimeters, of the hypotenuse of the right triangle can be determined using the equation shown below.
$4^{2}+8^{2}=h^{2}$
what is the length, in centimeters, of the hypotenuse of the right triangle?
a $\sqrt{12}$
b $\sqrt{32}$
c $\sqrt{40}$
d $\sqrt{80}$

Explanation:

Step1: Calculate \(4^{2}\) and \(8^{2}\)

$$
LATEXBLOCK0
$$

Step2: Substitute into the equation \(4^{2}+8^{2}=h^{2}\)

$$
LATEXBLOCK1
$$

Step3: Solve for \(h\)

Take the square root of both sides: \(h=\sqrt{80}\)

Answer:

D. \(\sqrt{80}\)