The Pythagorean Theorem is a fundamental relationship in geometry that states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
What is the Pythagorean Theorem?
This can be expressed as:
a² + b² = c²
a is the length of one of the legs (the sides adjacent to the right angle)
b is the length of the other leg
c is the length of the hypotenuse
One of the most common is the proof by dissection. This proof involves breaking down the square on the hypotenuse into four smaller squares and triangles, and then showing that these smaller squares and triangles can be rearranged to form the squares on the two legs.