Pythagorean theorem proof
Download as PPTX, PDF1 like523 views
The document provides a proof of the Pythagorean theorem. It shows that the square of the hypotenuse (c2) of a right triangle equals the sum of the squares of the other two sides (a2 + b2) by dividing the larger triangle into four identical right triangles and calculating their total area in two different ways. It concludes that c2 = a2 + b2, proving the Pythagorean theorem.
1 of 8
Downloaded 13 times
Pythagorean theorem proof
- 1. PYTHAGOREAN THEOREM PROOF Prepared by: RICHARD B. PAULINO
- 4. a b
- 5. a b a a a b b b (a+b)2 = a2 + 2ab + b2 ian Area of the four triangles = 4( ½ ab) = 2ab c2= a2 + b2
- 6. a b a a a b b b a-b Area of the four triangles = 4( ½ ab) = 2ab Area of small square=(a-b)2 = a2 - 2ab + b2 c2= a2 + b2 a-b