(28) Proof of the Pythagorean TheoremMar 27, 2013

The equation c2=a2+b2 is true for the three sides, a, b, and c (c is hypotenuse) of right angled triangle. This equation is called the Pythagorean Theorem, which we learn about in middle school. The ancient Egyptian knew that if the three sides of a triangle are in the ratio 3:4:5, it is a right angled triangle, so they made the right angled triangle from the string divided into 12 equal pieces. There are more than 200 proofs of the Pythagorean Theorem. Euclid used many auxiliary lines to give its orthodox proof, and that is why some people who learnt it become allergic to mathematics. The Indian mathematician, Bhaskara II’s proof was easy to understand. He drew the diagram of plain tiling and just wrote down “Behold” in there. Einstein also gave its brilliant proof. He drew the perpendicular line in the right triangle and proved it based on similarity relationship. He had the insight that led to the relativity theory of time and space, and it seems that he used this insight to give proof of the Pythagorean Theorem. Let us try to find a new proof.
Related calculator
  • Back