This picture shows a proof of the Pythagorean theorem becaus
b
a
b
a
a ^ 2
a
C
a
C
a
c ^ 2
b
C
b
C
C
b
b ^ 2
b
a
b
Figure 4-4
a
b
a
Figure 4-8
(1 point)
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.
The yellow triangles fill'up the large squares just enough to have a small square in each figure.
1 answer
Therefore, the Pythagorean theorem is proven in this picture.
3 answers