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.
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