The Pythagorean Theorem - Quiz - Level H Question 1 Which best summarizes the Pythagorean Theorem? The sum of the lengths of the legs of a right triangle equals the length of the hypotenuse. The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse. The length of the hypotenuse of a right triangle is greater than the sum of the lengths of the legs. For any triangle, the sum of the squares of any two side lengths is equal to the square of the third side length.

Did you know that the Pythagorean Theorem dates back to ancient Babylon, around 1900 BCE? Both the Babylonians and Egyptians used forms of this principle in their construction and surveying practices. However, it was the Greek mathematician Pythagoras who is credited with its formal proof and widespread fame, turning it into a staple of geometry that we still use today! In the real world, the Pythagorean Theorem is invaluable in various fields! Architects and engineers rely on it to determine the best angles for building structures, ensuring that everything is square and safe. Even in navigation, figuring out the shortest distance between two points on a map can involve applying this theorem. It's like a mathematical key that unlocks solutions in so many everyday scenarios!