The document discusses the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Specifically, if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a^2 + b^2 = c^2. The theorem describes the relationship between the side measures of a right triangle.

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Longer
Short Leg Hypotenuse
(a) a2 Leg b2 (c) c
2
(b)

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Pythagorean Relationship
· the relationship between the side measures of a right
triangle.
· the sum of the areas of the squares attached to the
legs of a right triangle equals the area of the square
attached to the hypotenuse.
2 2 2
· a +b =c

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