Find the distances between points C (3; 8) and D (-1; 5).

In the condition, we are given the coordinates of two points C (3; 8) and D (-1; 5), and we need to find the distances between these points.

Let’s remember the formula for calculating the distance between points.

Let the points be given by coordinates: A (xa; ya) and B (xb; yb).

The formula for finding the distance between them:

| AB | = √ ((xb – xa) ^ 2 + (yb – ya) ^ 2).

Let’s write the formula for the given points:

| CD | = √ ((xd – xc) ^ 2 + (yd – yc) ^ 2).

Substitute values and perform calculations:

| CD | = √ ((- 1 – 3) ^ 2 + (5 – 8) ^ 2) = √ (16 + 9) = √25 = 5.