Question

This picture shows a proof of the Pythagorean theorem because

(1 point)
Responses

The yellow triangles fill up the large squares just enough to have a small square in each figure.

a < b < c, so the Pythagorean theorem holds true.

The four yellow triangles are congruent in both large squares and the large squares are congruent, so c^2=a^2+b^2

a = b = c, so the Pythagorean theorem holds true.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The four yellow triangles in the picture are congruent to each other and cover the entire area of the large squares, proving that the sum of the areas of the two smaller squares is equal to the area of the larger square. Therefore, c^2 = a^2 + b^2, which is the Pythagorean theorem.