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PYTHAGOREAN THEOREM (ca 570 – 495BCE) – TWO PROOFS 1. Area proof In this diagram we have a square of sides (a + b). We have constructed four interior right triangles with legs a and b, in the corners of the square. Detemine the area of the outside square in two ways to prove the Pythagorean Theorem. a a b C.

PYTHAGOREAN THEOREM (ca 570 – 495BCE) – TWO PROOFS 1. Area proof In this diagram we have a square of sides (a + b). We have constructed four interior right triangles with legs a and b, in the corners of the square. Detemine the area of the outside square in two ways to prove the Pythagorean Theorem. a a b C.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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solve the attached problem, please.

PYTHAGOREAN THEOREM (ca 570 – 495BCE) – TWO PROOFS 1. Area proof In this diagram we have a square of sides (a + b). We have constructed four interior right triangles with legs a and b, in the corners of the square. Determine the area of the outside square in two ways to prove the Pythagorean Theorem. b a a b a a
Transcribed Image Text:PYTHAGOREAN THEOREM (ca 570 – 495BCE) – TWO PROOFS 1. Area proof In this diagram we have a square of sides (a + b). We have constructed four interior right triangles with legs a and b, in the corners of the square. Determine the area of the outside square in two ways to prove the Pythagorean Theorem. b a a b a a
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