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 \(a = 12\), \(b = 16\), and \(c\) be the hypotenuse (missing side).

Step2: Substitute values

$$12^{2}+16^{2}=c^{2}$$
$$144 + 256=c^{2}$$
$$400=c^{2}$$

Step3: Solve for \(c\)

$$c=\sqrt{400}$$
$$c = 20$$

Answer:

\(20\)