how do you use the Pythagorean theorem to find distance between two points
To use the Pythagorean theorem to find the distance between two points, follow these steps:
1. Identify the coordinates of the two points. Let's assume the coordinates of the first point are (x1, y1) and the coordinates of the second point are (x2, y2).
2. Calculate the difference in x-coordinates and square it: (x2 - x1)^2.
3. Calculate the difference in y-coordinates and square it: (y2 - y1)^2.
4. Add the result from step 2 to the result from step 3: (x2 - x1)^2 + (y2 - y1)^2.
5. Take the square root of the sum from step 4 to find the distance between the two points: √((x2 - x1)^2 + (y2 - y1)^2).
Following these steps will allow you to apply the Pythagorean theorem to find the distance between two points on a coordinate plane.
Apply the Pythagorean theorem to find the distance between two points (3,2) (7, 8) round your answer to the nearest hundredth)
To find the distance between the points (3, 2) and (7, 8), follow these steps:
1. Identify the coordinates of the two points: (x1, y1) = (3, 2) and (x2, y2) = (7, 8).
2. Calculate the difference in x-coordinates and square it: (7 - 3)^2 = 16.
3. Calculate the difference in y-coordinates and square it: (8 - 2)^2 = 36.
4. Add the result from step 2 to the result from step 3: 16 + 36 = 52.
5. Take the square root of the sum from step 4 to find the distance between the two points: √52 ≈ 7.21 (rounded to the nearest hundredth).
Therefore, the distance between the points (3, 2) and (7, 8) is approximately 7.21 units.