In the image, we can see a right triangle with side lengths a, b, and c. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b), expressed as c^2 = a^2 + b^2.
To prove the Pythagorean Theorem using this image, we can divide the square formed by the hypotenuse into four separate triangles. By rearranging these four triangles, we can form two squares: one with side length a and one with side length b.
The area of the square with side length c (c^2) will be equal to the sum of the areas of the squares with side lengths a (a^2) and b (b^2).
Therefore, the Pythagorean Theorem is proved using this geometric representation.
Use the image to answer the question.
Explain a proof of the Pythagorean Theorem using the image.
(4 points)
1 answer