This picture shows a proof of the Pythagorean theorem because
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
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.