Question

a triangle has sides with lengths of 60 kilometers, 72 kilometers, and 32 kilometers. 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, \(a = 32\), \(b = 60\), and \(c = 72\).

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

\(a^{2}+b^{2}=32^{2}+60^{2}=1024 + 3600=4624\)

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

\(c^{2}=72^{2}=5184\)

Step4: Compare

Since \(4624
eq5184\), \(a^{2}+b^{2}
eq c^{2}\)

Answer:

no