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Area Model for 3^2 + 4^2 = 5^2, Pythagorean Theorem
by lgbu
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#### Area Model for 3^2 + 4^2 = 5^2: A Beautiful Relationship to Play with!
This is an area model showing that 3^2 and 4^2 make 5^2. It is, of course, a special case of the Pythagorean Theorem. However, this relationship can be explored without reference to the Pythagorean Theorem. It is just a neat way to play with some simple numbers and their connections. The unit square is 10 mm x 10 mm. The 5-square is the collector for the 3-square and the four (4 x 1 ) pieces of a 4-square.
This is an area model showing that 3^2 and 4^2 make 5^2. It is, of course, a special case of the Pythagorean Theorem. However, this relationship can be explored without reference to the Pythagorean Theorem. It is just a neat way to play with some simple numbers and their connections. The unit square is 10 mm x 10 mm. The 5-square is the collector for the 3-square and the four (4 x 1 ) pieces of a 4-square.
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