Which statement about the Proof of the Pythagorean Theorem is true?

Question

(1 point)
Responses

To make a right triangle in the center, the area of the smaller two squares must add to equal the area of the largest square.
To make a right triangle in the center, the area of the smaller two squares must add to equal the area of the largest square.

​​​​​​​Any three squares can be put together to create a right triangle in the center.
​​​​​​​ Any three squares can be put together to create a right triangle in the center.

The area of the three squares that create a right triangle are always multiples of 3, 4, and 5.
The area of the three squares that create a right triangle are always multiples of 3, 4, and 5.

The sides of the right triangle in the center must have the relationship that the smaller two legs add to equal the longest side.
The sides of the right triangle in the center must have the relationship that the smaller two legs add to equal the longest side.

The sides of the squares are equal to the square of the areas.

Answer 1

The true statement about the Proof of the Pythagorean Theorem is:

To make a right triangle in the center, the area of the smaller two squares must add to equal the area of the largest square.

This correctly reflects the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs (the smaller two squares) is equal to the square of the length of the hypotenuse (the largest square). Therefore, \( a^2 + b^2 = c^2 \), where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.