A statement that can be proved easily using a theorem?

Answer 1

A statement that can be easily proved using a theorem is the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. For example, if we have a right triangle with legs of lengths 3 and 4, we can apply the theorem: (3^2 + 4^2 = 9 + 16 = 25), so the hypotenuse is ( \sqrt{25} = 5). This clearly demonstrates how the theorem can be applied to confirm the relationship between the sides of a right triangle.