Question

a triangle has sides with lengths of 7 inches, 24 inches, and 26 inches. is it a right triangle?

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side. Let \(a = 7\), \(b=24\), \(c = 26\).
Calculate \(a^{2}+b^{2}\): \(7^{2}+24^{2}=49 + 576=625\).
Calculate \(c^{2}\): \(26^{2}=676\).

Step2: Compare results

Since \(625
eq676\) (\(7^{2}+24^{2}
eq26^{2}\)).

Answer:

no