Question

a triangle has sides with lengths of 72 inches, 80 inches, and 21 inches. 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.
Let \(a = 21\), \(b = 72\), and \(c = 80\).
Calculate \(a^{2}+b^{2}\):
\(a^{2}=21^{2}=441\), \(b^{2}=72^{2}=5184\)
\(a^{2}+b^{2}=441 + 5184=5625\)
Calculate \(c^{2}\):
\(c^{2}=80^{2}=6400\)
Since \(a^{2}+b^{2}=5625
eq6400 = c^{2}\)

Answer:

no