Question

a triangle has sides with lengths of 36 feet, 74 feet, and 85 feet. 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 \(a = 36\), \(b = 74\), and \(c = 85\).

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

\(a^{2}+b^{2}=36^{2}+74^{2}=1296 + 5476=6772\)

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

\(c^{2}=85^{2}=7225\)

Step4: Compare

Since \(6772
eq7225\), \(a^{2}+b^{2}
eq c^{2}\).

Answer:

no