Question

for the following right triangle, find the side length x. round your answer to the nearest hundredth.

Explanation:

Step1: Apply Pythagorean theorem

$$x^{2}+12^{2}=20^{2}$$

Step2: Simplify the equation

$$x^{2}=20^{2}-12^{2}$$
$$x^{2}=400 - 144$$
$$x^{2}=256$$

Step3: Solve for \(x\)

$$x=\sqrt{256}$$
$$x = 16.00$$

Answer:

\(16.00\)