Question

what is the length of the hypotenuse? if necessary, round to the nea
c =
inches

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$, where \(a = 2\), \(b = 8\)
$$c^{2}=2^{2}+8^{2}$$

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

$$2^{2}=4$$, $$8^{2}=64$$
$$c^{2}=4 + 64$$

Step3: Sum the values

$$c^{2}=68$$

Step4: Solve for \(c\)

$$c=\sqrt{68}\approx 8.2$$

Answer:

\(8.2\)