Final Answer:
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) equals the sum of the squares of the other two sides: $ a^2 + b^2 = c^2 $. In this activity, students use grid paper to cut out squares matching room dimensions (e.g., 8 ft × 8 ft, 9 ft × 9 ft, 12 ft × 12 ft), arrange them to form a right triangle layout, and verify that the areas satisfy $ a^2 + b^2 = c^2 $. For example, if Brad’s room is 12 ft × 12 ft (area = 144), Andy’s is 9 ft × 9 ft (area = 81), and Charlie’s is 15 ft × 15 ft (area = 225), then $ 144 + 81 = 225 $, confirming the theorem.
Parent Tip: Review the logic above to help your child master the concept of pythagorean theorem using graphs worksheet.
