Evaluate
WOLFRAM

DEMONSTRATIONS
PROJECT
Three Proofs of the Pythagorean Theorem
a
b
rotation
for
proof
3
proofs
1
2
3
a
b
c
b

a
Proof
:
area
of
four
triangles
+
area
of
middle
square
=
area
of
whole
square
4
(
1
2
a
b
)
+
(
b

a
SuperscriptBox
[
\(
)
\)
,
\(
2
\)
]
=
c
2
2
a
b
+
(
b
2

2
a
b
+
a
2
)
=
c
2
a
2
+
b
2
=
c
2
This Demonstration shows three different proofs of the Pythagorean theorem using four congruent triangles.