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Distance Formula:

The length of the line connecting two places is the distance between them.And the formula which is used to derive its length is called distance formula.


If the two locations are on the same horizontal or vertical line, the distance between them can be calculated by subtracting the non-overlapping coordinates.

 

Distance Formula Frequently Asked Questions:

Question 1: What is the distance formula?

The length of the line segment connecting two points is equal to their distance.The Pythagoras theorem is used to obtain the formula for the distance between two points in a two-dimensional plane, which may also be used to estimate the distance between two points in a three-dimensional plane.

 

Question 2: What is the distance formula?

In coordinate geometry, there are several different forms of distance formulas which are listed below:
 

Solution 1


Solution 2

 

Question 3: What is the distance formula?

Let us assume the points A(x1, y1) and B(x2, y2)


Let ‘d’ be the distance between A and B.


By using pythagoras theorem


AB2 = AC2 + BC2


d2 = (x- x1) + (y-  y1)


d = √(x- x1) + (y-  y1)


figure

 

Question 4: What is the distance formula?

 A(5,2) and B(8,11)


AB2 = (8-5)2 + (11-2)2


AB = √(3)2 + (9)2 = √9 + 81 = 3√10

 

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