Basic Proof of the Pythagorean Theorem: A=c2 A=a2 a c b A=b2
Use shapes to show: a2 ab a2 ab ab b2 b2 ab
Squaring a Binomial a2 b2 ab a b
Squaring a Binomial b a (b–a) a b b2 a (b–a)
Squaring a Binomial ab b2 ab a2 (b–a)2
Bhaskara’s Hindu Dissection Proof of the Pythagorean Theorem Can you re-arrange into a square with side c?
BEHOLD! The shortest known proof!
Bhaskara’s Hindu Dissection Proof of the Pythagorean Theorem (b–a) ? BEHOLD! c b a
Garfield’s Geometry or c a b Can you re-arrange these shapes into a trapezoid with bases a and b? c c
Garfield’s Geometry b a c
Homework Pythagorean Dissection Proof Pythagorean Word Problems
Name: Use the following diagram to show proof of the Pythagorean theorem. c a b