Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
3. Using Midpoint and Distance Formulas
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Exercise 25 Page 25

Use the Distance Formula.

sqrt(13) or about 3.6

Practice makes perfect
To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are E(3,7) and F(6,5).
EF = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)
EF=sqrt(( 6- 3)^2+( 5- 7)^2)
EF=sqrt(3^2+(- 2)^2)
EF=sqrt(9+4)
EF=sqrt(13)
The distance between E and F is sqrt(13). Using a calculator we can estimate that it is about 3.6.