Question

find the length of the third side. if necessary, round to the nearest tenth.
24
14

Explanation:

Step1: Identify triangle type

It's a right triangle, so use Pythagorean theorem: \(a^2 + b^2 = c^2\), where \(c = 24\) (hypotenuse), \(b = 14\) (one leg), find \(a\) (other leg).

Step2: Rearrange formula

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

Step3: Substitute values

\(a = \sqrt{24^2 - 14^2} = \sqrt{576 - 196} = \sqrt{380}\)

Step4: Simplify and round

\(\sqrt{380} \approx 19.5\) (rounded to nearest tenth)

Answer:

19.5