Math, asked by shobhayadav3532, 1 month ago

Represent in


7 on a
number line​

Answers

Answered by sanil1lekha
0

Answer:

Let O be the origin on the line l.  

Let A be on the line such that OA=1.  

Step-by-step explanation: Draw AB perpendicular to OA at A such that AB=1. Then  

OB  

2

=OA  

2

+AB  

2

=1  

2

+1  

2

=2 Thus OB=  

2

​  

.  

With O as centre and OB as radius draw an arc cutting the line at C.  

Then OC=OB=  

2

​  

 

Again draw CD prependicular to l such that CD=1. Then  

OD  

2

=OC  

2

+CD  

2

=2+1=3. Thus OD=  

3

​  

.  

Draw an arc with O as centre and OD as radius to cut l in E. Then OE=OD=  

3

​  

.

Draw EF prependicular to l at E such that EF = 2 and join OF. Now

OF  

2

=OE  

2

+EF  

2

=3+4=7.

Hence OF=  

7

​  

. With O as centre and OF as radius, cut l at G.  

Then OG=OF=  

7

​  

.

Thus G represents  

7

​  

 on the line l.

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