Question

On a grid, the distance between the points located at (1, -2) and (-9, 3) is roughly equal to _____.

Answer 1

Result

You entered the following points:

A = ( 1 , 2 )

B = ( −9 , 3 )

The distance between points A and B is :

d(A,B)=101−−−√ ≈ 10.0499

Explanation

To find distance between points A(xA,yA) and B(xB,yB) , we use formula:

d(A,B)=(xB−xA)2+(yB−yA)2−−−−−−−−−−−−−−−−−−−√

In this example: xA=1 , yA=2 , xB=−9 and yB=3 so:

d(A,B)d(A,B)d(A,B)=(−9−1)2+(3−2)2−−−−−−−−−−−−−−−−√=100+1−−−−−−√=101−−−√