Math, asked by karthik14314338, 5 months ago

find the distance from origin to the point (3,4)​

Answers

Answered by vedikasoni26jul2009
1

Answer:

Distance from origin

So points O(  

x  

1

​  

 

0

​  

,  

y  

2

​  

 

0

​  

) and A(  

x  

2

​  

 

3

​  

,  

y  

2

​  

 

4

​  

)

Now, distance OFOA=  

(x  

2

​  

−x  

1

​  

)  

2

+(y  

2

​  

−y  

1

​  

)  

2

 

​  

 

=  

(3−0)  

2

+(4−0)  

2

 

​  

 

=  

3  

2

+4  

2

 

​  

 

=  

9+16

​  

 

=  

(5)  

2

 

​  

 

=5 units

Hence the distance of point (3,4) from origin is 5 units.Distance from origin

So points O(  

x  

1

​  

 

0

​  

,  

y  

2

​  

 

0

​  

) and A(  

x  

2

​  

 

3

​  

,  

y  

2

​  

 

4

​  

)

Now, distance OFOA=  

(x  

2

​  

−x  

1

​  

)  

2

+(y  

2

​  

−y  

1

​  

)  

2

 

​  

 

=  

(3−0)  

2

+(4−0)  

2

 

​  

 

=  

3  

2

+4  

2

 

​  

 

=  

9+16

​  

 

=  

(5)  

2

 

​  

 

=5 units

Hence the distance of point (3,4) from origin is 5 units.

Step-by-step explanation:

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