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Find the distance between the following points: A(3, 4) and B(5, 2) - Mathematics

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Question

Find the distance between the following points:

A(3, 4) and B(5, 2)

Sum
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Solution

Given: A(3, 4) and B(5, 2)

Distance formula: `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2` 

= `sqrt((5 - 3)^2 + (2 - 4)^2`

= `sqrt(2^2 + (-2)^2`

= `sqrt(4 + 4)`

= `sqrt(8)`

= `2sqrt(2)`

Distance AB = `2sqrt(2)` units.

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Chapter 19: Co-ordinate Geometry: An Introduction - Exercise 19D [Page 404]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 19 Co-ordinate Geometry: An Introduction
Exercise 19D | Q 1. (iv) | Page 404
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