To find the distance between two points (x1, y1) and (x2, y2) using the Pythagorean theorem, we use the formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates are (2,1) and (6,9), so the formula becomes:
Distance = √((6 - 2)^2 + (9 - 1)^2)
Simplifying inside the square root:
Distance = √(4^2 + 8^2)
Calculating:
Distance = √(16 + 64)
Distance = √80
Rounding the answer to the nearest hundredths:
Distance = 8.94
Therefore, the distance between (2,1) and (6,9) is approximately 8.94.
Apply Pythagorean theorem to find the length in between (2,1) and (6,9). Round your answer to the nearest hundredths.
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