Question

a triangle has sides with lengths of 16 meters, 32 meters, and 34 meters. is it a right triangle?

Explanation:

Step1: Recall the Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side. Let \(a = 16\), \(b = 32\), \(c=34\).

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

• Calculate \(a^{2}+b^{2}\):

\(a^{2}+b^{2}=16^{2}+32^{2}=256 + 1024=1280\)

• Calculate \(c^{2}\):

\(c^{2}=34^{2}=1156\)

Answer:

no