Question

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

Explanation:

Step1: Identify the Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = 5\) and \(b=12\).

Step2: Substitute values into the formula

\(c^{2}=5^{2}+12^{2}=25 + 144=169\).

Step3: Solve for \(c\)

Take the square root of both sides. Since \(c>0\) (length), \(c=\sqrt{169}=13\).

Answer:

13