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The sum of the x-coordinates of the vertices of a triangle in the Cartesian plane equals 10. Find the sum of the x-coordinates of the midpoints of the sides of the triangle.

 Dec 11, 2020
 #1
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Let  the  x coordinates  of the vertices be    a,  b  and  c

 

Midpoint  x value  of  a,b coordinates =   (a + b)/2

Midpoint  x  value  of  b,c coordinates  = (b + c)/2

Midpoint x value of a,c coordinates =  (a + c) / 2

 

The sum of the midpoint x values is

 

[  2a  + 2b + 2c  ]   / 2   =    a  + b + c   = 10

 

 

cool cool cool

 Dec 11, 2020
 #2
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thx man

Guest Dec 11, 2020

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