How do you find the distance between (–3, –2) and (1, 4)?
The distance between two points A(x;y) and B(x';y') can be calculate with the formula :
Then for : A(-3;-2) and B(1;4) we have :
The distance between A(-3;-2) and B(1;4) is exactly
Why this formula work ? In fact, we only calculate the length of vector(BA), and we implicitly use the Pythagorean theorem on it.