- The area of square A (a^2) is 36 cm^2 (6 cm x 6 cm).
- The area of square B (b^2) is 64 cm^2 (8 cm x 8 cm).
- The sum of the areas of the squares (c^2) is 100 cm^2 (36 cm^2 + 64 cm^2).
- The square root of the sum of the areas of the squares (c) is 10 cm (square root of 100 cm^2).
- The diagram represents the Pythagorean Theorem as the sum of the areas of the squares on the two shorter sides equaling the area of the square on the hypotenuse. In this case, a^2 + b^2 = c^2, where a and b are the side lengths of the squares and c is the side length of the square on the hypotenuse. This relationship holds true for any right triangle.
Answer the questions based on the model and explain how it represents the Pythagorean Theorem.
-What is the area of square A (a^2)? a=6 cm
-What is the area of square B (b^2)? b=8 cm
-What is the sum of areas of the squares (c^2)?
-What is the square root of the sum of the areas of the squares (c)?
-Explain how the diagram represents the Pythagorean Theorem.
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