Pythagorean Theorem
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The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs, with the formula a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse. Examples demonstrate applying the formula to find the length of the hypotenuse for right triangles with legs of lengths 6 and 8 units, 3 and 4 units, and 10 and 10 units.
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The document provides information about the Pythagorean theorem:
1) It states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
2) It gives examples of right triangles that satisfy the theorem, such as ones with sides of 3, 4, 5 or 5, 12, 13.
3) It includes an animated proof of the theorem showing how the area of the square on the hypotenuse equals the combined areas of the squares on the other two sides.
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