The statement that correctly explains the Pythagorean Theorem is:
If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.
This Pythagorean Theorem can be expressed mathematically as \(a^2 + b^2 = c^2\), where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the other two legs of the right triangle.