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This activity opens with a diagram of two unequal squares and challenges students to find a way to construct a third square from them. It is part of the Figure This! collection of 80 math challenges emphasizing math in the real world. The activity introduces the Pythagorean theorem and explains its importance in construction and engineering professions. Students are encouraged to model the problem using squares of paper. Related questions introduce Pythagorean triples, and the Did You Know page offers interesting facts about the history of the Pythagorean theorem. Answers to all questions and links to additional resources are provided. Copyright 2005 Eisenhower National Clearinghouse
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