The model below uses three squares to form a right triangle.



29 cm,,,...21 cm,,,....20 cm,,,....,,,



The model shows that...

A. The square of 20 equals the sum of the squares of 29 and 31.

B. The square of 29 equals the sum of the squares of 20 and 21.

C.The square of 21 equals the sum of the squares of 20 and 39.

D.Not here.

Review the Pythagorean Theorem.

29^2 = 20^2 + 21^2

To find the correct answer, we need to use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Looking at the given model, we have three squares with side lengths of 29 cm, 21 cm, and 20 cm. We can assume that the square with side length 29 cm represents the hypotenuse of the right triangle.

Now, we need to compare the sum of the squares of the other two sides with the square of the hypotenuse.

Option A states that the square of 20 cm equals the sum of the squares of 29 cm and 31 cm. However, the model does not show a square with a side length of 31 cm, so option A is incorrect.

Option B states that the square of 29 cm equals the sum of the squares of 20 cm and 21 cm. This fits the Pythagorean theorem as the square of the hypotenuse is equal to the sum of the squares of the other two sides. Therefore, option B is correct.

Option C states that the square of 21 cm equals the sum of the squares of 20 cm and 39 cm. However, the model does not show a square with a side length of 39 cm, so option C is incorrect.

Since option B accurately represents the model using the Pythagorean theorem, the correct answer is B. The square of 29 equals the sum of the squares of 20 and 21.