Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here \(a = 5\) and \(b=12\), so \(c^{2}=5^{2}+12^{2}\)

Step2: Calculate \(a^{2}\) and \(b^{2}\)

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

Step3: Solve for \(c\)

Take square root of both sides: \(c=\sqrt{169}\)
Since \(\sqrt{169}=13\)

Answer:

\(13\)