Question

a triangle has sides with lengths of 39 kilometers, 84 kilometers, and 94 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 \(a = 39\), \(b = 84\), and \(c = 94\).

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

\(a^{2}+b^{2}=39^{2}+84^{2}=1521 + 7056=8577\)

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

\(c^{2}=94^{2}=8836\)

Step4: Compare

Since \(a^{2}+b^{2}
eq c^{2}\) (because \(8577
eq8836\)), it is not a right - triangle.

Answer:

no