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find the distance and midpoint between (5,4) and (2,7)

 Mar 8, 2015

Best Answer 

 #1
avatar+130516 
+5

The x coordinate of the midpoint is given by adding the x values and dividing by two.

So.....(5 + 2) / 2  = 7/2

And the same procedure is used to find the y coordinate midpoint.

So.....( 4 + 7) / 2  = 11/2      ....so the midpoint is (7/2, 11/2)

 

To find the distance between the points we subtract the x coordinates (in any order) and then square the result.

So we have  (5 -2) = 3  ......3^2  = 9

The.....we do the same with the y coordinates - again the order of subtraction is irrelevant.......so we have

(7 - 4)  = 3   .....3^2 = 9

Add these two results and take the square root....so

9 + 9 = 18

√18  = √(9 * 2) =  3√2   .... and that's the distance

 

  

 Mar 8, 2015
 #1
avatar+130516 
+5
Best Answer

The x coordinate of the midpoint is given by adding the x values and dividing by two.

So.....(5 + 2) / 2  = 7/2

And the same procedure is used to find the y coordinate midpoint.

So.....( 4 + 7) / 2  = 11/2      ....so the midpoint is (7/2, 11/2)

 

To find the distance between the points we subtract the x coordinates (in any order) and then square the result.

So we have  (5 -2) = 3  ......3^2  = 9

The.....we do the same with the y coordinates - again the order of subtraction is irrelevant.......so we have

(7 - 4)  = 3   .....3^2 = 9

Add these two results and take the square root....so

9 + 9 = 18

√18  = √(9 * 2) =  3√2   .... and that's the distance

 

  

CPhill Mar 8, 2015

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