Point K is the middle of the segment MN, point E is the middle of the segment KN, EN = 5cm.

Point K is the middle of the segment MN, point E is the middle of the segment KN, EN = 5cm. Find the length of the segment MK, ME, MN.

Given:
segment MN,
point K is the midpoint of segment MN,
point E is the midpoint of segment KN,
EN = 5 centimeters.
Find the length of the segments MK, ME, MN -?
Decision:
Consider the segment MN.
1) Since the point K is the midpoint of the segment MN, then MK = KN. Since point E is the middle of the segment KN, then EK = EN = 5 centimeters. Then the segment KN = MK = 5 + 5 = 10 (centimeters);
2) Segment MN = MK + KN;
MN = 10 + 10;
MN = 20 centimeters;
3) Section ME = MK + KE;
ME = 10 + 5;
ME = 15 centimeters.
Answer: 10 centimeters; 15 centimeters; 20 centimeters.