Point N was marked on segment MK so that the distance between points M and N is 2

| May 8, 2021 | education

Point N was marked on segment MK so that the distance between points M and N is 2 times greater than the distance between points N and K. Find the distances between points M and N and N and K if the distance between points M and K is 3 cm …

It is known that there is a segment MK, on ​​which point N is located. It is also known that the distance between points M and N is 2 times greater than the distance between points N and K. Because the distance MN and the distance NK are unknown, then let the distance NK be taken for x, then MN will have a value of 2x. The MK distance is also known, which is 3 cm.Let’s make the equation:
MK = MN + NK, hence
2x + x = 3;
3x = 3;
x = 3: 3;
x = 1 (cm) – the length of the segment NK.
Because the length of the segment MN is 2 times greater than the segment NK, then the length of the segment MN = 2 * 1 = 2 cm.
Answer: the distance between points M and N is 2 cm, and between points N and K – 1 cm.



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