SlideShare a Scribd company logo
A B
CDIn the adjoining figure,
m AE = mEH = a
mEB = mFC = b
mAB = mBC = a + b
Geometrical Proof of formula (a + b)2 = a2 + 2ab + b2
E
F
GK
H
a b
a
b
(a + b)
a2
b2
ab
ab
Area of the square region ABCD =
Area of square region AEHK( a2 )
+ area of the square region HGCF( b2 )
+ area of the rectangular region EBGH( ab )
+ area of the rectangular region KHFD( ab )
i.e. (a+b)2= a2+b2+ab+ab
= a2+2ab+b2
By: Abdul Wasay Yusuf

More Related Content

What's hot

Lista plantão 05 - 8º ano
Lista plantão 05 - 8º anoLista plantão 05 - 8º ano
Lista plantão 05 - 8º ano
Prof. Materaldo
 
Area and Surface Area Volume
Area and Surface Area VolumeArea and Surface Area Volume
Area and Surface Area Volume
AMAN KUMAR VISHWAKARMA
 
Algebraic identities
Algebraic identitiesAlgebraic identities
Algebraic identities
Gopalakrishna Bk
 
8th pre alg -l19
8th pre alg -l198th pre alg -l19
8th pre alg -l19
jdurst65
 
Linear equations in 2 variables
Linear equations in 2 variablesLinear equations in 2 variables
Linear equations in 2 variables
AMAN KUMAR VISHWAKARMA
 
Class 9 Cbse Maths Sample Paper Term 2 Model 1
Class 9 Cbse Maths Sample Paper Term 2 Model 1Class 9 Cbse Maths Sample Paper Term 2 Model 1
Class 9 Cbse Maths Sample Paper Term 2 Model 1
Sunaina Rawat
 
Algebric identities
Algebric identitiesAlgebric identities
Algebric identities
Zphs Ammapuram
 
A) proving angle properties of circles 2
A) proving angle properties of circles 2A) proving angle properties of circles 2
A) proving angle properties of circles 2
njcjh305groupc
 
Figures
FiguresFigures
Figures
Drradz Maths
 
Quadrilaterals Theorem and Axcioms
Quadrilaterals Theorem and Axcioms Quadrilaterals Theorem and Axcioms
Quadrilaterals Theorem and Axcioms
AMAN KUMAR VISHWAKARMA
 
A) proving angle properties of circles 1
A) proving angle properties of circles 1A) proving angle properties of circles 1
A) proving angle properties of circles 1
njcjh305groupc
 
7th pre alg -l19
7th pre alg -l197th pre alg -l19
7th pre alg -l19
jdurst65
 
Surface area and volume 1
Surface area and volume   1Surface area and volume   1
Surface area and volume 1
dhanuch
 
ITA 2015 - fechada
ITA 2015 - fechadaITA 2015 - fechada
ITA 2015 - fechada
KalculosOnline
 
Obj. 30 Reflections and Translations
Obj. 30 Reflections and TranslationsObj. 30 Reflections and Translations
Obj. 30 Reflections and Translations
smiller5
 
ЗНО-2021 (математика)
ЗНО-2021 (математика)ЗНО-2021 (математика)
ЗНО-2021 (математика)
ЗШ №10 м.Світловодська
 
Unicamp 2020 - fechada
Unicamp 2020 - fechadaUnicamp 2020 - fechada
Unicamp 2020 - fechada
KalculosOnline
 
Computer Graphic - Transformations in 3d
Computer Graphic - Transformations in 3dComputer Graphic - Transformations in 3d
Computer Graphic - Transformations in 3d
2013901097
 
Algebraic expressions
Algebraic expressionsAlgebraic expressions
Algebraic expressions
GeoGebra Institute of Kerala
 

What's hot (19)

Lista plantão 05 - 8º ano
Lista plantão 05 - 8º anoLista plantão 05 - 8º ano
Lista plantão 05 - 8º ano
 
Area and Surface Area Volume
Area and Surface Area VolumeArea and Surface Area Volume
Area and Surface Area Volume
 
Algebraic identities
Algebraic identitiesAlgebraic identities
Algebraic identities
 
8th pre alg -l19
8th pre alg -l198th pre alg -l19
8th pre alg -l19
 
Linear equations in 2 variables
Linear equations in 2 variablesLinear equations in 2 variables
Linear equations in 2 variables
 
Class 9 Cbse Maths Sample Paper Term 2 Model 1
Class 9 Cbse Maths Sample Paper Term 2 Model 1Class 9 Cbse Maths Sample Paper Term 2 Model 1
Class 9 Cbse Maths Sample Paper Term 2 Model 1
 
Algebric identities
Algebric identitiesAlgebric identities
Algebric identities
 
A) proving angle properties of circles 2
A) proving angle properties of circles 2A) proving angle properties of circles 2
A) proving angle properties of circles 2
 
Figures
FiguresFigures
Figures
 
Quadrilaterals Theorem and Axcioms
Quadrilaterals Theorem and Axcioms Quadrilaterals Theorem and Axcioms
Quadrilaterals Theorem and Axcioms
 
A) proving angle properties of circles 1
A) proving angle properties of circles 1A) proving angle properties of circles 1
A) proving angle properties of circles 1
 
7th pre alg -l19
7th pre alg -l197th pre alg -l19
7th pre alg -l19
 
Surface area and volume 1
Surface area and volume   1Surface area and volume   1
Surface area and volume 1
 
ITA 2015 - fechada
ITA 2015 - fechadaITA 2015 - fechada
ITA 2015 - fechada
 
Obj. 30 Reflections and Translations
Obj. 30 Reflections and TranslationsObj. 30 Reflections and Translations
Obj. 30 Reflections and Translations
 
ЗНО-2021 (математика)
ЗНО-2021 (математика)ЗНО-2021 (математика)
ЗНО-2021 (математика)
 
Unicamp 2020 - fechada
Unicamp 2020 - fechadaUnicamp 2020 - fechada
Unicamp 2020 - fechada
 
Computer Graphic - Transformations in 3d
Computer Graphic - Transformations in 3dComputer Graphic - Transformations in 3d
Computer Graphic - Transformations in 3d
 
Algebraic expressions
Algebraic expressionsAlgebraic expressions
Algebraic expressions
 

More from Muhammad Yusuf

Preposition of place, infograph
Preposition of place, infographPreposition of place, infograph
Preposition of place, infograph
Muhammad Yusuf
 
Model verbs Infographics
Model verbs InfographicsModel verbs Infographics
Model verbs Infographics
Muhammad Yusuf
 
Grammar, tenses infographics
Grammar, tenses infographicsGrammar, tenses infographics
Grammar, tenses infographics
Muhammad Yusuf
 
Formula a^2 b^2
Formula a^2  b^2Formula a^2  b^2
Formula a^2 b^2
Muhammad Yusuf
 
Sindhi language kaki pati
Sindhi language kaki patiSindhi language kaki pati
Sindhi language kaki pati
Muhammad Yusuf
 
Article review textbooks and the construction of militarism in pakistan naseem a
Article review textbooks and the construction of militarism in pakistan naseem aArticle review textbooks and the construction of militarism in pakistan naseem a
Article review textbooks and the construction of militarism in pakistan naseem a
Muhammad Yusuf
 
Let us Play with Algebra
Let us Play with AlgebraLet us Play with Algebra
Let us Play with Algebra
Muhammad Yusuf
 
Multiplying and dividing fraction
Multiplying and dividing fractionMultiplying and dividing fraction
Multiplying and dividing fraction
Muhammad Yusuf
 
Decagonal approach, a vehicle for school improvement
Decagonal approach, a vehicle for school improvementDecagonal approach, a vehicle for school improvement
Decagonal approach, a vehicle for school improvement
Muhammad Yusuf
 
Teacher job satisfaction
Teacher job satisfactionTeacher job satisfaction
Teacher job satisfaction
Muhammad Yusuf
 
Implications of the Gap Analyses of Children’s Literature in Pakistan and Vie...
Implications of the Gap Analyses of Children’s Literature in Pakistan and Vie...Implications of the Gap Analyses of Children’s Literature in Pakistan and Vie...
Implications of the Gap Analyses of Children’s Literature in Pakistan and Vie...
Muhammad Yusuf
 
Teacher training model for single school teacher
Teacher training model for single school teacherTeacher training model for single school teacher
Teacher training model for single school teacher
Muhammad Yusuf
 
Learning Mathematics with Cuisenaire more
Learning Mathematics with Cuisenaire  moreLearning Mathematics with Cuisenaire  more
Learning Mathematics with Cuisenaire more
Muhammad Yusuf
 
Progress picture to print2 scaffolding
Progress  picture to print2 scaffoldingProgress  picture to print2 scaffolding
Progress picture to print2 scaffolding
Muhammad Yusuf
 
Five essential elements of reading
Five essential elements of readingFive essential elements of reading
Five essential elements of reading
Muhammad Yusuf
 
Decodable text for Early Grade learner
Decodable text for Early Grade learnerDecodable text for Early Grade learner
Decodable text for Early Grade learner
Muhammad Yusuf
 
School Improvement: Lesson Learnt
School Improvement: Lesson LearntSchool Improvement: Lesson Learnt
School Improvement: Lesson Learnt
Muhammad Yusuf
 
Feedback, for professional Learning
Feedback, for professional LearningFeedback, for professional Learning
Feedback, for professional Learning
Muhammad Yusuf
 
Professional learning model
Professional learning modelProfessional learning model
Professional learning model
Muhammad Yusuf
 
Gaps analysis early grade reading material in sindhi and urdu
Gaps analysis early grade reading material in sindhi and urduGaps analysis early grade reading material in sindhi and urdu
Gaps analysis early grade reading material in sindhi and urdu
Muhammad Yusuf
 

More from Muhammad Yusuf (20)

Preposition of place, infograph
Preposition of place, infographPreposition of place, infograph
Preposition of place, infograph
 
Model verbs Infographics
Model verbs InfographicsModel verbs Infographics
Model verbs Infographics
 
Grammar, tenses infographics
Grammar, tenses infographicsGrammar, tenses infographics
Grammar, tenses infographics
 
Formula a^2 b^2
Formula a^2  b^2Formula a^2  b^2
Formula a^2 b^2
 
Sindhi language kaki pati
Sindhi language kaki patiSindhi language kaki pati
Sindhi language kaki pati
 
Article review textbooks and the construction of militarism in pakistan naseem a
Article review textbooks and the construction of militarism in pakistan naseem aArticle review textbooks and the construction of militarism in pakistan naseem a
Article review textbooks and the construction of militarism in pakistan naseem a
 
Let us Play with Algebra
Let us Play with AlgebraLet us Play with Algebra
Let us Play with Algebra
 
Multiplying and dividing fraction
Multiplying and dividing fractionMultiplying and dividing fraction
Multiplying and dividing fraction
 
Decagonal approach, a vehicle for school improvement
Decagonal approach, a vehicle for school improvementDecagonal approach, a vehicle for school improvement
Decagonal approach, a vehicle for school improvement
 
Teacher job satisfaction
Teacher job satisfactionTeacher job satisfaction
Teacher job satisfaction
 
Implications of the Gap Analyses of Children’s Literature in Pakistan and Vie...
Implications of the Gap Analyses of Children’s Literature in Pakistan and Vie...Implications of the Gap Analyses of Children’s Literature in Pakistan and Vie...
Implications of the Gap Analyses of Children’s Literature in Pakistan and Vie...
 
Teacher training model for single school teacher
Teacher training model for single school teacherTeacher training model for single school teacher
Teacher training model for single school teacher
 
Learning Mathematics with Cuisenaire more
Learning Mathematics with Cuisenaire  moreLearning Mathematics with Cuisenaire  more
Learning Mathematics with Cuisenaire more
 
Progress picture to print2 scaffolding
Progress  picture to print2 scaffoldingProgress  picture to print2 scaffolding
Progress picture to print2 scaffolding
 
Five essential elements of reading
Five essential elements of readingFive essential elements of reading
Five essential elements of reading
 
Decodable text for Early Grade learner
Decodable text for Early Grade learnerDecodable text for Early Grade learner
Decodable text for Early Grade learner
 
School Improvement: Lesson Learnt
School Improvement: Lesson LearntSchool Improvement: Lesson Learnt
School Improvement: Lesson Learnt
 
Feedback, for professional Learning
Feedback, for professional LearningFeedback, for professional Learning
Feedback, for professional Learning
 
Professional learning model
Professional learning modelProfessional learning model
Professional learning model
 
Gaps analysis early grade reading material in sindhi and urdu
Gaps analysis early grade reading material in sindhi and urduGaps analysis early grade reading material in sindhi and urdu
Gaps analysis early grade reading material in sindhi and urdu
 

Recently uploaded

Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingYour Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Excellence Foundation for South Sudan
 
Types of Herbal Cosmetics its standardization.
Types of Herbal Cosmetics its standardization.Types of Herbal Cosmetics its standardization.
Types of Herbal Cosmetics its standardization.
Ashokrao Mane college of Pharmacy Peth-Vadgaon
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
Scholarhat
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Mohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
 
The Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collectionThe Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collection
Israel Genealogy Research Association
 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
mulvey2
 
A Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdfA Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdf
Jean Carlos Nunes Paixão
 
Smart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICTSmart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICT
simonomuemu
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
AyyanKhan40
 
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movieFilm vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
Nicholas Montgomery
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
heathfieldcps1
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
Priyankaranawat4
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
Celine George
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
Colégio Santa Teresinha
 
World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024
ak6969907
 
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
RitikBhardwaj56
 
writing about opinions about Australia the movie
writing about opinions about Australia the moviewriting about opinions about Australia the movie
writing about opinions about Australia the movie
Nicholas Montgomery
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
Nguyen Thanh Tu Collection
 
S1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptxS1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptx
tarandeep35
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
Dr. Mulla Adam Ali
 

Recently uploaded (20)

Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingYour Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
 
Types of Herbal Cosmetics its standardization.
Types of Herbal Cosmetics its standardization.Types of Herbal Cosmetics its standardization.
Types of Herbal Cosmetics its standardization.
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
 
The Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collectionThe Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collection
 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
 
A Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdfA Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdf
 
Smart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICTSmart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICT
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
 
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movieFilm vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
 
World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024
 
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
 
writing about opinions about Australia the movie
writing about opinions about Australia the moviewriting about opinions about Australia the movie
writing about opinions about Australia the movie
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
 
S1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptxS1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptx
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
 

Geometrical proof of (a+b)^2

  • 1. A B CDIn the adjoining figure, m AE = mEH = a mEB = mFC = b mAB = mBC = a + b Geometrical Proof of formula (a + b)2 = a2 + 2ab + b2 E F GK H a b a b (a + b) a2 b2 ab ab Area of the square region ABCD = Area of square region AEHK( a2 ) + area of the square region HGCF( b2 ) + area of the rectangular region EBGH( ab ) + area of the rectangular region KHFD( ab ) i.e. (a+b)2= a2+b2+ab+ab = a2+2ab+b2 By: Abdul Wasay Yusuf