Pythagorean Theorem
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The Pythagorean Theorem states that the square of the hypotenuse of a
right triangle is the sum of the squares of the legs, that is, c2 = a2 + b2, as shown in the animation.
How can this be proved? By creating three more identical triangles and rotating them 90°, 180°, 270° clockwise, respectively, we form a square with sides of length (a+b). |
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area of this newly formed square is equal to the sum of the areas of
the four right triangles and the square in the center. Expressing this
algebraically, we have:
 )ab] + c2By simplifying this equation, we obtain:
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