To find the distance between the two points (3, 11) and (5, 5), we can use the distance formula, which is:
d = √((x2 – x1)² + (y2 – y1)²)
In this formula, (x1, y1) are the coordinates of the first point, and (x2, y2) are the coordinates of the second point.
For our points:
- (x1, y1) = (3, 11)
- (x2, y2) = (5, 5)
Now, substituting the values into the formula:
d = √((5 – 3)² + (5 – 11)²)
d = √((2)² + (-6)²)
d = √(4 + 36)
d = √40
d = 2√10
Hence, the distance between the points (3, 11) and (5, 5) is 2√10 units, which is approximately 6.32 units.