Distance Between Two Points

1
Distance Between Two Points
2
Distance Between Two Points

• The distance between two points in a plane.
• A and B are two points, the distance between A
  and B is the distance between two points.

3
How to Find the Distance Between 2 Points?

• P and Q are two points with co-ordinates (x1, y1)
  and (x2, y2).
• To find the distance, draw a triangle joining the
  two points.
• From the right triangle, the distance can be
  caluclated.

4
Rise and Run

• The vertical distance of the triangle is the rise
  (b in diagram)
• The horizontal distance is the run ( a in
  diagram)
• The distance between the two points A and B is C
  (hypotenuse of triangle)

5
Formula

• From the pythagorean theorem, c square root of
  (a2 b2).
• From the co-ordinate points, the vertical and
  horizontal distances can be caluclated.

6
Formula

• The horizontal distance is x2 x1.
• The vertical distance is y2 y1.
• Substituting in pythogorean theorem formula, the
  distance between two points can be calculated.

7
Formula

• Distance Square root of (a2 b2).
• a(x2-x1)2
• b(y2-y1)2
• Hence distance Square root (x2-x1)2 (y2
  -y1)2.

8
Distance Between Two Points Calculation

• Consider two points A and B with co-ordinates
  (2,2) and (6,5).
• To find distance between A and B, join the two
  points forming a traingle.
• Find the rise and run.
• Substitute the values.

9
Distance Between Two Points Calculation

• Run 6 2 4
• Rise 5 -2 3
• Distance Square root ( 42 32)
• Square root (169)
• Square root (25)
• 5 is the distance between A and B.

10

• THANK YOU !!!
• Find distance between two points online at
• https//www.easycalculation.com/analytical/distanc
  e.php