GED Math Practice Test

What does the variable 'c' represent in the Pythagorean theorem?

1. The longest side in a right triangle

2. The shortest side in a right triangle

3. The height of a right triangle

4. The width of a right triangle

The correct answer is: The longest side in a right triangle

In the context of the Pythagorean theorem, the variable 'c' specifically represents the longest side of a right triangle, known as the hypotenuse. This theorem is expressed as \( a^2 + b^2 = c^2 \), where 'a' and 'b' are the lengths of the other two sides, referred to as the legs of the triangle. The hypotenuse is always opposite the right angle and is crucial for determining the relationship between the lengths of the sides in a right triangle. Therefore, identifying 'c' as the longest side is accurate, reinforcing its central role in the theorem’s application in various mathematical problems involving right triangles.