Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 39\) and \(b = 80\), the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), so \(c^{2}=39^{2}+80^{2}\).

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

\(39^{2}=39\times39 = 1521\) and \(80^{2}=80\times80=6400\). Then \(c^{2}=1521 + 6400=7921\).

Step3: Find \(c\)

Take the square root of \(c^{2}\), \(c=\sqrt{7921}=89.0\) (rounded to the nearest tenth).

Answer:

89.0