Question

a triangle has sides with lengths of 11 yards, 60 yards, and 61 yards. is it a right triangle?

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$, where \(a = 11\), \(b = 60\), \(c = 61\)

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

\(11^{2}+60^{2}=121 + 3600=3721\)

Step3: Calculate \(c^{2}\)

\(61^{2}=3721\)

Step4: Compare results

Since \(11^{2}+60^{2}=61^{2}\)

Answer:

yes