This picture shows a proof of the Pythagorean theorem because

Question

B
b
C
b
2
b
b
b
54
a² a
b²
b
a
Figure 4-A
(1 point)
b
B
b
a
Figure 4-B

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

2. The four yellow triangles are congruent in both large squares and the
large squares are congruent, so c² = a² + b²

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

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

Answer 1

. This shows that the area of the largest square is equal to the sum of the areas of the two smaller squares, which is the essence of the Pythagorean theorem.