![]() We have just proven the Pythagorean Theorem. ![]() Pythagorean Theorem generalizes to spaces of higher. This activity came from Exploring Algebra with The Geometers Sketchpad. ![]() So, the area of the blue square = area of the surrounding square minusĪrea of blue square = a² + 2ab + b² minus 2ab Blue Square Area = c² = a² + b² The book is a collection of 367 proofs of the Pythagorean Theorem and has been republished by NCTM in 1968. The Pythagorean Theorem states that: 'The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides.' Figure 1 According to the Pythagorean Theorem, the sum of the areas of the two red squares, squares A and B, is equal to the area of the blue square, square C. Students can make conjectures about the objects before attempting a proof.
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