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A Proof of Pythagoras’ Theorem. a 2 + b 2 = c 2. c. a. b. a 2. c. a. b. b 2. c. a. b. c. a. b. c. a. b. a 2 + b 2 = c 2. c. a. b. Pythagoras’ Theorem is proved. c 2. a 2 + b 2 = c 2. c. a. b. Pythagoras’ Theorem. Example. Find c. c. 3. 4.
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a2 + b2 = c2 c a b
a2 c a b b2
c a b
c a b
c a b
a2 + b2 = c2 c a b Pythagoras’ Theorem is proved. c2
a2 + b2 = c2 c a b Pythagoras’ Theorem
Example. Find c. c 3 4 By Pythagoras’ Theorem, c2 = 32 +42 = 9+16 =25 = 5