Distance Between Two Points

by



Distance between two points

Here is how to calculate the distance between two points when you know their coordinates:

 

 

Let us call the two points A and B

 

 

We can run lines down from A, and along from B, to make a Right Angled Triangle.

And with a little help from Pythagoras we know that:  a2 + b2 = c2

 

Now label the coordinates of points A and B.

xA means the x-coordinate of point A  yA means the y-coordinate of point A

The horizontal distance a is (xA − xB)  

The vertical distance b is (yA − yB)

Now we can solve for c (the distance between the points):

Start with:  c2 = a2 + b2

Put in the calculations for a and b:   c2 = (xA − xB)2 + (yA − yB)2

And the final result: c = square root of [(xA-xB)^2+(yA-yB)^2]

 

Examples

 

 

 

Proportional division of a line (section formula)


Final Destination for Kerala PSC Notes and Tests, Exclusive coverage of KPSC Prelims and Mains Syllabus, Dedicated Staff and guidence for KPSC Kerala PSC  Notes brings Prelims and Mains programs for Kerala PSC  Prelims and Kerala PSC  Mains Exam preparation. Various Programs initiated by Kerala PSC  Notes are as follows:- For any doubt, Just leave us a Chat or Fill us a querry––