How to Find Distance Between Two Points
Finding the distance between two points in a coordinate system is a fundamental concept in geometry. To calculate this distance, we use the distance formula, which is derived from the Pythagorean theorem. The distance formula is expressed as:
D = √((x2 - x1)² + (y2 - y1)²)
Where:
- D is the distance between the two points.
- (x1, y1) are the coordinates of the first point.
- (x2, y2) are the coordinates of the second point.
To apply this formula, follow these simple steps:
- Identify the coordinates of the two points. For example, let’s say Point A has coordinates (3, 4) and Point B has coordinates (7, 1).
- Substitute the coordinates into the distance formula. Using our example, it becomes:
- Calculate the differences: 4² + (-3)² = 16 + 9 = 25.
- Finally, take the square root: D = √25 = 5.
D = √((7 - 3)² + (1 - 4)²)
Thus, the distance between Point A and Point B is 5 units.
Understanding how to find the distance between two points is essential for various applications in mathematics, physics, and engineering. Mastering this concept will enhance your problem-solving skills in geometry.
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