Which statement explains the Pythagorean Theorem? (1 point) If all angles in a triangle are of equal measure, then the length of all sides will be equal, If the interior angles of a triangle add up to \( 180^{\circ} \), then the sum of the legs of the triangle is equal to the square of the hypotenuse, - If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse. If a triangle is a right triangle, then the sum of the squares of the longest leg and the hypotenuse is equal to the square of the third side.

The Pythagorean Theorem, formulated by the ancient Greek mathematician Pythagoras, states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides, or legs. This theorem isn't just a rule for triangles; it also laid the foundation for much of modern geometry and trigonometry! In practical terms, the Pythagorean Theorem is used in various real-world applications, from architecture and construction to navigation and computer graphics. For instance, if you're building a ramp and want to make sure it's at the right angle, you can use this theorem to check your measurements. Just remember, whether you're solving for one of the sides or ensuring your project is accurate, the Pythagorean Theorem is your go-to tool!