Question

find the unknown side length in the given triangle. round to the nearest hundredth. (1 point) 20 30

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 20\), \(c = 30\), and \(b\) be the unknown side. Then \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

$$b^{2}=30^{2}-20^{2}=900 - 400=500$$

Step3: Solve for \(b\)

$$b=\sqrt{500}\approx22.36$$

Answer:

\(22.36\)