AFOQT Practice Test

In the Pythagorean Theorem, which variable represents the hypotenuse?

1. a

2. b

3. c

4. None of the above

The correct answer is: c

In the Pythagorean Theorem, which is stated as \(a^2 + b^2 = c^2\), the variable representing the hypotenuse is designated as \(c\). The hypotenuse is the longest side of a right triangle, opposite the right angle. This is a fundamental aspect of the theorem, where \(a\) and \(b\) represent the lengths of the other two sides or legs of the triangle. The reason \(c\) is established as the hypotenuse is rooted in the theorem's geometric definition and its historical context. The correct identification of \(c\) as the hypotenuse is integral to solving problems involving right triangles, as it reflects the relationship between the sides and helps in various applications of geometry and trigonometry. By correctly understanding the roles of these variables, one can effectively utilize the Pythagorean Theorem in mathematical computations and real-world scenarios involving right-angled triangles.