Answer :

Given: ABC = 90° , BCDE is a square on side BC and ACFG is a square on AC


To prove: AD = EF


Proof:


Since BCDE is square,


BCD = 90° …(1)


In ∆ACD,


ACD = ACB + BCD


= ACB + 90° …(2)


In ∆BCF,


BCF = BCA + ACF


Since ACFG is square,


ACF = 90° …(3)


From 2 and 3, we have,


ACD = BCF ….(4)


Thus in ∆ACD and ∆BCF, we have,


AC = CF ...sides of square


ACD = BCF …from 4


CD = BC … sides of square


Thus by SAS property of congruence,


∆ACD BCF


Hence, we know that, corresponding parts of the congruent triangles are equal


AD = BF


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Eliminating India's PovertyEliminating India's PovertyEliminating India's Poverty48 mins
Poverty in IndiaPoverty in IndiaPoverty in India51 mins
Solving most Important QuestionsSolving most Important QuestionsSolving most Important Questions43 mins
People As ResourcesPeople As ResourcesPeople As Resources53 mins
Let's learn about PalampurLet's learn about PalampurLet's learn about Palampur47 mins
Democracy - A Quick InsightDemocracy - A Quick InsightDemocracy - A Quick Insight55 mins
Work and Types of Work doneWork and Types of Work doneWork and Types of Work done40 mins
Subject Verb AgreementSubject Verb AgreementSubject Verb Agreement36 mins
Mixed BagMixed BagMixed Bag40 mins
Elections- Mechanism and TypesElections- Mechanism and TypesElections- Mechanism and Types48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

In two congruent RD Sharma - Mathematics

In two triangles RD Sharma - Mathematics

If ABC andRD Sharma - Mathematics