Math Problem Statement
or Find the distance between the points (8,9) and (2,1).
Solution
To find the distance between the points and , you can use the distance formula:
Here, are the coordinates of the first point, and are the coordinates of the second point.
Substitute the given coordinates:
Simplify the expression inside the square root:
Finally, calculate the square root:
So, the distance between the points and is 10 units.
Would you like more details on the steps or have any questions?
Here are 5 related questions you might find interesting:
- How would the distance formula change if we were working in three dimensions?
- Can you derive the distance formula from the Pythagorean theorem?
- What is the midpoint of the line segment connecting the points and ?
- How can the distance formula be applied in physics to find the displacement between two points?
- What is the significance of the distance formula in coordinate geometry?
Tip: When calculating distances, always ensure to square the differences before adding, as this eliminates any negative values.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Distance Formula
Formulas
d = √((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 6-8