Question

Show that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).​

Answer 1

Explanation:

1) if (0;0) if point A, (1;2) is point B; (-1;-2) is C, (2;1) is D, then

2) the vector AB is (1;2); vector AC is (-1;-2) and vector AD is (2;1), then

3) the length of AB, AC and AD are:

`|AB|=√(1^2+2^2)=√(5);`

`|AC|=√((-1)^2+(-2)^2)=√(5);`

`|AD|=√(2^2+1^2)=√(5).`

4) if the lengths above are equal, then it means that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).