Question

a triangle has sides with lengths of 5 yards, 7 yards, and 11 yards. is it a right triangle? yes no

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with sides \(a\), \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Let \(a = 5\), \(b = 7\) and \(c = 11\).

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

\(a^{2}+b^{2}=5^{2}+7^{2}=25 + 49=74\).

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

\(c^{2}=11^{2}=121\).

Step4: Compare

Since \(74
eq121\), \(a^{2}+b^{2}
eq c^{2}\).

Answer:

no