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 \(a = 8\) and \(b = 6\), the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), so \(c^{2}=8^{2}+6^{2}\).

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

\(8^{2}=64\) and \(6^{2}=36\), then \(c^{2}=64 + 36=100\).

Step3: Solve for \(c\)

Take the square root of both sides, \(c=\sqrt{100}=10\).

Answer:

10