Question

a triangle has sides with lengths of 8 inches, 16 inches, and 17 inches. is it a right triangle? yes no

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with sides \(a\), \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Let \(a = 8\), \(b = 16\) and \(c = 17\).

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

\(a^{2}+b^{2}=8^{2}+16^{2}=64 + 256=320\).

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

\(c^{2}=17^{2}=289\).

Step4: Compare

Since \(320
eq289\), i.e., \(a^{2}+b^{2}
eq c^{2}\).

Answer:

no