Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = millimeters

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here \(a = 6\), \(b = 8\). Substitute into the formula:
$$6^{2}+8^{2}=c^{2}$$

Step2: Calculate \(a^{2}\) and \(b^{2}\)

$$6^{2}=36$$
$$8^{2}=64$$
So \(36 + 64=c^{2}\), i.e., \(c^{2}=100\)

Step3: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{100}\)
\(c = 10\)

Answer:

\(10\)