No 4. On a grid paper with cell size 1x1, points A, B, and C are marked. Find the distance from point A to the midpoint of segment BC.

• For the first grid: Point A is at (0, 4). Segment BC connects points B (2, 1) and C (4, 1). The midpoint of BC is ((2+4)/2, (1+1)/2) = (3, 1). The distance from A (0, 4) to the midpoint (3, 1) is √((3-0)² + (1-4)²) = √(3² + (-3)²) = √(9 + 9) = √18 = 3√2.
• For the second grid: Point A is at (0, 0). Segment BC connects points B (1, 3) and C (3, 1). The midpoint of BC is ((1+3)/2, (3+1)/2) = (2, 2). The distance from A (0, 0) to the midpoint (2, 2) is √((2-0)² + (2-0)²) = √(2² + 2²) = √(4 + 4) = √8 = 2√2.

Answer: 3√2 (for the first grid), 2√2 (for the second grid)