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Distance Formula - Grade 10 Math

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<strong>Distance</strong> and midpoint.notebook<br />

December 03, 2012<br />

The <strong>Distance</strong> <strong>Formula</strong><br />

1


<strong>Distance</strong> and midpoint.notebook<br />

December 03, 2012<br />

What is the distance<br />

(­2,6)<br />

(5,3)<br />

How could you<br />

find the distance<br />

2


<strong>Distance</strong> and midpoint.notebook<br />

December 03, 2012<br />

The <strong>Distance</strong> <strong>Formula</strong><br />

The distance between any two points with<br />

coordinates (x 1, y 1 ) an (x 2 ,y 2 ) is given by the<br />

following formula:<br />

This is taken from the Pythagorean Theorem.<br />

3


<strong>Distance</strong> and midpoint.notebook<br />

December 03, 2012<br />

Example 1<br />

Find the distance between the points with coordinates ﴾3,5﴿ and ﴾6,4﴿.<br />

OR<br />

3.16<br />

4


<strong>Distance</strong> and midpoint.notebook<br />

December 03, 2012<br />

Try this..... Find the distance between (­4, 3) & (2, ­8)<br />

5


<strong>Distance</strong> and midpoint.notebook<br />

December 03, 2012<br />

6


<strong>Distance</strong> and midpoint.notebook<br />

December 03, 2012<br />

7

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