Activity & Practical To Find the distance between two given points graphically.| Class 10th level | edugrown
- Pythagoras’ theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Objective
- To find the distance between two given points graphically.
MATERIALS REQUIRED
Graph Paper
Pencil
Ruler
THEORY
- In a right-angled triangle the square of hypotenuse is equal to the sum of squares on the other two sides.
- Concept of a right-angled triangle.
- Area of square = (side)2
- Construction of perpendicular lines.
PROCEDURE
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Draw the axis OX. and OY. on the graph paper (Image 1)Mark two points A(X1,Y1) and B(X2,Y2) on the graph paperBy Image 1AC=( X2-X1)BC=( Y2-Y1)
By Pythagoras theorem
Which can be written as
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Observation
So,the distance between two given points(X1,Y1) and (X2,Y2) is
Result
In this way we have Verified the distance formula.
Distance between two points is
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