Question

a triangle has sides with lengths of 18 inches, 63 inches, and 65 inches. is it a right triangle?

Explanation:

Step1: Recall the Pythagorean theorem

For a right - triangle with side lengths \(a\), \(b\), and \(c\) (\(c\) is the longest side), \(a^{2}+b^{2}=c^{2}\). Let \(a = 18\), \(b=63\), and \(c = 65\).

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

\(a^{2}+b^{2}=18^{2}+63^{2}=324 + 3969=4293\).

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

\(c^{2}=65^{2}=4225\).

Since \(a^{2}+b^{2}
eq c^{2}\) (because \(4293
eq4225\)).

Answer:

no