Question

a triangle has sides with lengths of 28 yards, 42 yards, and 53 yards. is it a right triangle? yes no

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side. Here \(a = 28\), \(b = 42\), and \(c = 53\).

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

\(a^{2}+b^{2}=28^{2}+42^{2}=784 + 1764=2548\).

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

\(c^{2}=53^{2}=2809\).

Step4: Compare

Since \(2548
eq2809\), i.e., \(a^{2}+b^{2}
eq c^{2}\).

Answer:

no