Apply the Pythagorean Theorem to find the length between (2, 5) and (7, 3) . Round your answer to the nearest hundredth, if necessary.(1 point

1 answer

To find the length between two points using the Pythagorean theorem, follow these steps:
1. Determine the difference in x-coordinates: x2 - x1 = 7 - 2 = 5
2. Determine the difference in y-coordinates: y2 - y1 = 3 - 5 = -2
3. Square the difference in x-coordinates: (5)^2 = 25
4. Square the difference in y-coordinates: (-2)^2 = 4
5. Add the results from steps 3 and 4: 25 + 4 = 29
6. Take the square root of the sum from step 5: √29 ≈ 5.39

Therefore, the length between (2, 5) and (7, 3) is approximately 5.39 units.