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.

THANK YOU !!!

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