Question

janas home has a flat roof shaped like a right triangle. one leg of the triangle measures 10 feet, and the other leg measures 24 feet. determine the length of fencing needed to cover the hypotenuse of the roof. enter your answer in the box. ft

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a = 10\), \(b = 24\), and the Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\)

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

\(a^{2}=10^{2}=100\), \(b^{2}=24^{2}=576\)

Step3: Sum \(a^{2}\) and \(b^{2}\)

\(a^{2}+b^{2}=100 + 576=676\)

Step4: Find the square root

\(c=\sqrt{676}\)
Since \(26\times26 = 676\), \(c = 26\)

Answer:

26