This picture shows a proof of the Pythagorean theorem because
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b
Figure &-A
a² a
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b
b²
b
a
b
Figure 48
a
The yellow triangles fill up the large squares just enough to have a small square in each figure.
The four yellow triangles are congruent in both large squares and the large squares are congruent, so c²=a2+62
a = b = c, so the Pythagorean theorem holds true.
a