Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.
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Transcript of Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.
![Page 1: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/1.jpg)
Garfield’s Proof
![Page 2: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/2.jpg)
of theGarfield’s Proof
![Page 3: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/3.jpg)
Pie- thagorean Theorem
Garfield’s Proofof the
![Page 4: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/4.jpg)
Garfield’s Proofof the
Pie- thagorean Theorem
![Page 5: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/5.jpg)
Garfield’s Proofof the
Pie- thagorean Theorem
![Page 6: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/6.jpg)
Garfield’s Proofof the
Pie- thagorean Theorem
Pie-
![Page 7: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/7.jpg)
Garfield’s Proofof the
Pie- thagorean Theorem
Py
![Page 8: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/8.jpg)
Garfield’s Proofof the
Py
thagorean Theorem
(President)
![Page 9: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/9.jpg)
Garfield’s Proofof the
Py
thagorean Theorem
(President)
![Page 10: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/10.jpg)
See Garfield eat Pie A
Garfield The Cat’s Proof
![Page 11: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/11.jpg)
President Garfield’s Proof:
Examine these three triangles.
a
b
a
b
c
c
c
c
Their area is
2
2
1c
ab2
1
ab2
1
abab2
1
2
1ab 2
2
1c
![Page 12: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/12.jpg)
See Garfield eat Pie A
See Garfieldeat Pie B
![Page 13: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/13.jpg)
a b
ab
c
c
The President’s great idea was to constructa trapezoid using these three triangles. yx bbhA
2
1
The area formula for a trapezoid is:
22 22
12
1
baba
babaA
In this case, we get:
![Page 14: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/14.jpg)
See me squared!
This isDr. Mena’sclass, so we’ve got
One Dead Cat
x x
![Page 15: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/15.jpg)
Then President Garfield noticed something astonishing!!
22 22
1baba 2
2
1cab abab
22
2
12 ba
2
2
12 c
22 ba 2c
![Page 16: Garfield’s Proof of the Garfield’s Proof Pie- thagorean Theorem Garfield’s Proof of the.](https://reader037.fdocuments.net/reader037/viewer/2022110304/551becd0550346b4588b63f5/html5/thumbnails/16.jpg)
Production by
Dead Cat StudiosIn conjunction with
Too Much Time, Uninc.