Which statement about the Proof of the Pythagorean Theorem is true?
(1 point)
Responses
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.
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.
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.
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.
Any three squares can be put together to create a right triangle in the center.
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 reflects the essence of the Pythagorean Theorem, which states that in a right triangle, the sum of the areas of the squares built on the two shorter sides (legs) equals the area of the square built on the longest side (hypotenuse).
