Calculate the distance between points A (-8.2) and B (4.3)

Find the distance between two points A (-8.2) and B (4.3).

The distance between two points can be calculated as the root of the sum of the squares of the distances between the projections of these points along the abscissa axis and the distance between the projection of these points along the ordinate axis.

Let’s find the distance between the projections of points along the 0x axis:

4 – (-8) = 12.

Let’s find the distance between the projections of these points along the y-axis:

3 – 2 = 1.

Now let’s answer the question of the problem:

√ (12 ^ 2 + 1 ^ 2) = √ (144 + 1) = √145.

Answer: the distance between the points is equal to √145.