Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = meters

Explanation:

Step1: Identify the Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Here \(a = 4\) and \(b = 8\).

Step2: Substitute values into the formula

\(c^{2}=4^{2}+8^{2}=16 + 64=80\).

Step3: Solve for \(c\)

\(c=\sqrt{80}\approx8.9\) (rounded to the nearest tenth).

Answer:

8.9