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Given A(-5,1), B(-1,3), C( 1,4), and D(4,1), is line segment AB about the same length as line segment CD? Explain.

 Sep 11, 2014

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 #1
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Given A(-5,1), B(-1,3), C( 1,4), and D(4,1), is line segment AB about the same length as line segment CD? Explain.

Using the distance "formula"  AB =  √[( -5 - (-1))2 + (3 - 1)2 ] = √[(-4)2 + (2)2] =

√[16 + 4] = √20

And CD = √[( 4 - 1)2 + (4 - 1)2 ] = √[(3)2 + (3)2] =   √(9 + 9) = √18

So AB ≠ CD

 

 Sep 11, 2014
 #1
avatar+129840 
+5
Best Answer

Given A(-5,1), B(-1,3), C( 1,4), and D(4,1), is line segment AB about the same length as line segment CD? Explain.

Using the distance "formula"  AB =  √[( -5 - (-1))2 + (3 - 1)2 ] = √[(-4)2 + (2)2] =

√[16 + 4] = √20

And CD = √[( 4 - 1)2 + (4 - 1)2 ] = √[(3)2 + (3)2] =   √(9 + 9) = √18

So AB ≠ CD

 

CPhill Sep 11, 2014

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