Choose the statement that is correct about the Pythagorean Theorem.

Question

A
The sum of the squares of the largest side and the perpendicular is equal to the base of a right triangle.

B
The square of the base of a right triangle is equal to the sum of the squares of the largest side and the perpendicular.

C
The square of the largest side of a right triangle is equal to the sum of the squares of the two other sides.

D
The square of the perpendicular of a right triangle is equal to the sum of the largest side and the base.

Answer 1

The correct statement about the Pythagorean Theorem is:

C: The square of the largest side of a right triangle is equal to the sum of the squares of the two other sides.

In terms of a right triangle, if the sides are labeled as \(a\) and \(b\) (the two shorter sides) and \(c\) (the longest side, or hypotenuse), the Pythagorean Theorem states that:

\[ c^2 = a^2 + b^2 \]