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To find the distance between two points using the Pythagorean theorem, we use the formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Given the points (2,1) and (6,9), we can substitute the values into the formula:
d = √((6 - 2)^2 + (9 - 1)^2)
= √(4^2 + 8^2)
= √(16 + 64)
= √80
≈ 8.944
Rounding to the nearest hundredth, the distance is approximately 8.94.