above

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Question

A discussion of Pythagoras' Theorem, including your account of a proof other than Euclid's Proof, The Pythagorean Proof of the Irrationality of √ 2, project maths proof of Pythagorus or any of Euclid's proofs of Pythagorus. This is for the purpose of comparison with euclid's proofs for research.

 

Please refer to proof of pythagorus other than the ones mentioned above or the ones shown in the attached images. Thank you

 

 

 

Pythagoras' Theorem
a
b
a
a
a? a
a
b c
b
b2
a
b
a
Transcribed Image Text:Pythagoras' Theorem a b a a a? a a b c b b2 a b a
Pythagoras' Theorem: the Project Maths proof
B
A
D
C
The proof starts with the observation that the triangles
ΔΑBC ,
ΔADB , ΔBDC
are similar.
(Similar triangles appear in Book VI of the Elements. Propositions 2 & 4.)
Transcribed Image Text:Pythagoras' Theorem: the Project Maths proof B A D C The proof starts with the observation that the triangles ΔΑBC , ΔADB , ΔBDC are similar. (Similar triangles appear in Book VI of the Elements. Propositions 2 & 4.)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning