This picture shows a proof of the Pythagorean theorem because

B
b
C
b
2
b
b
b
54
a² a

b
a
Figure 4-A
(1 point)
b
B
b
a
Figure 4-B
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 c² = a² + b²

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

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

1 answer

, showing that the areas of the squares can be broken down into smaller square areas that correspond to the sides of a right triangle. This visually demonstrates the relationship between the areas of the squares and the sides of the triangle, which is the essence of the Pythagorean theorem.
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