Minimum Distance
Minimum Distance problems ask for the shortest possible distance between two points, typically after a person walks in perpendicular directions. The minimum distance is always the straight line connecting the start and end points, calculated using the Pythagorean theorem.
What You'll Learn
Introduction to Minimum Distance
Minimum Distance problems ask for the shortest possible distance between two points, typically after a person walks in perpendicular directions. The minimum distance is always the straight line connecting the start and end points, calculated using the Pythagorean theorem.
Prerequisites
How to Solve Minimum Distance Problems
Step 1: Track net East-West and North-South displacements
Step 2: These net displacements form perpendicular legs
Step 3: Minimum distance = √(EW² + NS²)
Step 4: Calculate the square root
Step 5: Answer with the distance
Step 6: Direction can also be specified if asked
Example Problem
Example: A person walks 5 m West, then 12 m South. What is the minimum distance from start? Solution: Step 1: Net West = 5 m, Net South = 12 m Step 2: These are perpendicular (West and South) Step 3: Minimum distance = √(5² + 12²) = √(25 + 144) = √169 = 13 m Answer: 13 m
Pro Tips & Tricks
- Minimum distance = √(EW² + NS²)
- Recognize Pythagorean triplets for quick answers
- If movements are collinear, minimum distance = |net displacement|
- The actual path length is always ≥ minimum distance
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Minimum Distance. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Minimum Distance is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Minimum Distance?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: