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

(1 point)
Responses

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

​​​​​​​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.

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.

1 answer

The correct 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 captures the essence of the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the largest side) is equal to the sum of the squares of the lengths of the other two sides (the smaller sides).