Distance Between Two Points

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.

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.

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)

Formula From the pythagorean

theorem, c = square root of (a^2 + b^2).

From the co-ordinate points, the vertical and horizontal distances can be caluclated.

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.

Formula Distance = Square root

of (a^2 + b^2). a=(x2-x1)^2 b=(y2-y1)^2 Hence distance =

Square root [(x2-x1)^2 + (y2 -y1)^2].

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.

Distance Between Two Points Calculation

Run = 6 – 2 = 4 Rise = 5 -2 = 3 Distance = Square root

( 4^2 + 3^2) Square root (16+9) Square root (25) 5 is the distance between

A and B.

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