Question

a triangle has sides with lengths of 59 meters, 72 meters, and 90 meters. 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 \(a = 59\), \(b = 72\), \(c=90\).

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

\(a^{2}+b^{2}=59^{2}+72^{2}=3481 + 5184=8665\)

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

\(c^{2}=90^{2}=8100\)

Step4: Compare

Since \(a^{2}+b^{2}=8665
eq8100 = c^{2}\), it is not a right - triangle.

Answer:

no