Distance between two points

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Distance between two points tool is used to find the distance between any two points. Only important criteria or point is to know the coordinates of the two points. If the coordinates of the two points are known then distance can be evaluated easily. Let us take a line segment AB shown in fig 1 to find out the distance between the two points.


Distance between point A and B = √ (x2- x1) ^2 + (y2-y1) ^2
This can be more clarified by the relevant examples.


Problem 1: Find out the distance between two points C and D. The coordinate of C is (2, 4) and D is (11, 7).
Solution: Given coordinates are C (2, 4) and D (11, 7)

=> So x1 = 2, y1 =4 and x2 = 11, y2 = 7
=> So distance between C and D is √ (x2- x1) ^2 + (y2-y1) ^2 = √ (11-2) ^ 2 + (7-4) ^2
= √ 9^2 + 3^2 = √ 81 + 9 = √ 90 units


 
Problem 2: Find out the distance between two points X and Y. 


Solution: Given coordinates are X (4, 6) and D (6, 10)

So x1 = 4, y1 =6 and x2 = 6, y2 = 10
So distance between C and D is √ (x2- x1) ^2 + (y2-y1) ^2  = √ (6-4) ^ 2 + (10-6) ^2
= √ 2^2 + 4^2 = √ 4 + 16 = √ 20 units.

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