To find the exact distance between the points (1, 4) and (6, 2), we can use the distance formula. The distance formula is given by:
d = √((x₂ – x₁)² + (y₂ – y₁)²)
In this case, the points are (x₁, y₁) = (1, 4) and (x₂, y₂) = (6, 2). Plugging in these values:
d = √((6 – 1)² + (2 – 4)²)
Now, we can compute the differences:
d = √((5)² + (-2)²)
Calculating the squares:
d = √(25 + 4)
Now, add the results:
d = √(29)
Therefore, the exact distance from (1, 4) to (6, 2) is √29, which is approximately 5.39 units.