Question

find the length of the third side. if necessary, round to the nearest tenth. 18 30 (right triangle image)

Explanation:

Step1: Identify triangle type

It's a right triangle, so use Pythagorean theorem: \(a^2 + b^2 = c^2\), where \(c\) is hypotenuse, \(a,b\) are legs. Here, \(c = 30\), \(a = 18\), find \(b\).

Step2: Rearrange formula

\(b = \sqrt{c^2 - a^2}\)

Step3: Substitute values

\(b = \sqrt{30^2 - 18^2} = \sqrt{900 - 324} = \sqrt{576}\)

Step4: Calculate square root

\(\sqrt{576} = 24\)

Answer:

24