# One end of the segment is at point M with coordinates (26; 12), the other end of N has coordinates (28; 6).

August 29, 2021 | education

| **One end of the segment is at point M with coordinates (26; 12), the other end of N has coordinates (28; 6). Determine the coordinates of the midpoint K of the segment MN.**

Given:

Segment MN;

M (26; 12);

N (28; 6);

K – middle of MN;

K (x; y) -?

Solution:

The coordinates of the midpoint of the segment can be found using the following formulas:

x = (x1 + x2) / 2; y = (y1 + y2) / 2;

where (x1; y1) and (x2; y2) are the coordinates of the beginning and end of the segment.

Then the coordinates of the point K are equal:

x = (26 + 28) / 2 = 54/2 = 27;

y = (12 + 6) / 2 = 18/2 = 9:

Answer: K (27; 9)

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