Question

a triangle has sides with lengths of 2 kilometers, 6 kilometers, and 7 kilometers. 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 \(a = 2\), \(b = 6\) and \(c = 7\) (where \(c\) is the longest side).

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

\(a^{2}+b^{2}=2^{2}+6^{2}=4 + 36=40\).

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

\(c^{2}=7^{2}=49\).

Step4: Compare

Since \(40
eq49\), i.e., \(a^{2}+b^{2}
eq c^{2}\).

Answer:

no