distance between two points
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Learn how to find distance between two points when the co-ordinate points are given. - PowerPoint PPT PresentationTRANSCRIPT
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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.
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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.
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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)
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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.
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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.
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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].
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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.
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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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THANK YOU !!!
Find distance between two points online at
https://www.easycalculation.com/analytical/distance.php