4. Answer the questions based on the model and explain how it represents the Pythagorean Theorem.
a. What is the area of square A (a^2)?
b. What is the area of square B (b^2)?
c. What is the sum of areas of the squares (c^2)?
d. What is the square root of the sum of the areas of the squares (c)?
a. The area of square A is a^2, as each side of square A is of length a.
b. The area of square B is b^2, as each side of square B is of length b.
c. The sum of the areas of the squares is c^2, which represents the area of the square formed by the hypotenuse of the right triangle.
d. The square root of the sum of the areas of the squares is c, which is the length of the hypotenuse of the right triangle. This demonstrates the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.