Math Problem Statement
Solution
The image contains the formula for calculating the distance between two points and on a Cartesian plane, labeled as "Jarak AB" which translates to "Distance AB." The formula is based on the Pythagorean theorem:
Here’s the breakdown:
- are the coordinates of point .
- are the coordinates of point .
- The formula gives the straight-line distance between the two points, often referred to as the Euclidean distance.
Would you like more details or have any questions?
Here are 5 related questions to further explore the concept:
- How do we calculate the distance if one point is the origin ?
- How does this formula apply in 3D space, and what changes are needed?
- What is the geometric meaning of the difference between the and coordinates?
- Can this formula be used to determine the perimeter of a triangle with known vertices?
- How would you apply this formula if the coordinates were in a different coordinate system (e.g., polar coordinates)?
Tip: This formula is fundamental in geometry and can be extended to higher dimensions by adding more terms for each additional dimension (e.g., 3D, 4D).
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Math Problem Analysis
Mathematical Concepts
Geometry
Distance Formula
Pythagorean Theorem
Formulas
Distance formula: AB = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 9-11
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