Question

use the pythagorean theorem to find the missing side \c\

Explanation:

Step1: Write the Pythagorean Theorem formula

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 5\), \(b = 4\)

Step2: Substitute the values into the formula

$$5^{2}+4^{2}=c^{2}$$
$$25 + 16=c^{2}$$
$$41=c^{2}$$

Step3: Solve for \(c\)

$$c=\sqrt{41}\approx6.4$$

Answer:

\(6.4\)