Question

leg
pythagorean theorem
hypotenuse
right triangle
this is the longest side of a right triangle
2/20

Explanation:

Step1: Recall the properties of a right - triangle

In a right - triangle, the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\) (where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse) is used. The hypotenuse is the side opposite the right angle.

Step2: Analyze the side lengths

By the Pythagorean theorem, for a right - triangle with legs of lengths \(a\) and \(b\) and hypotenuse \(c\), we know that \(c=\sqrt{a^{2}+b^{2}}\). Since \(a^{2}>0\) and \(b^{2}>0\), then \(c > a\) and \(c > b\).

Answer:

hypotenuse