Question

consider this right triangle. find the exact length of the missing side.

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 8\), \(b = 3\), and \(c\) be the hypotenuse.

Step2: Substitute values

$$c^{2}=8^{2}+3^{2}$$
$$c^{2}=64 + 9$$
$$c^{2}=73$$

Step3: Solve for \(c\)

$$c=\sqrt{73}$$

Answer:

\(\sqrt{73}\)