Question

a triangle has sides with lengths of 5 meters, 7 meters, and 10 meters. is it a right triangle? yes no

Explanation:

Step1: Recall the Pythagorean theorem

For a right - triangle with sides \(a\), \(b\), and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Let \(a = 5\), \(b = 7\), and \(c = 10\).

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

\(a^{2}+b^{2}=5^{2}+7^{2}=25 + 49=74\).

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

\(c^{2}=10^{2}=100\).

Step4: Compare \(a^{2}+b^{2}\) and \(c^{2}\)

Since \(74
eq100\) (i.e., \(a^{2}+b^{2}
eq c^{2}\)).

Answer:

no