Question

william thinks that the hypotenuse must be the longest side of a right triangle, but chad does not agree. who is correct? support your answer with an explanation or a counterexample, if possible. hint:

Explanation:

In a right - triangle, by the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse and \(a\) and \(b\) are the legs. Since \(a^{2}>0\) and \(b^{2}>0\), then \(c^{2}>a^{2}\) and \(c^{2}>b^{2}\), which implies \(c > a\) and \(c > b\). So the hypotenuse is the longest side.

Answer:

William is correct.