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

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

Given:

K – midpoint of segment MN,

point E – midpoint of segment KN,

EN = 5.

Find the lengths of the segments: MK, ME, MN -?

Solution:

1. Since point E is the middle of the segment KN, then KE = EN = 5. Then the length of the segment KN = KE + EN, KN = 5 + 5 = 10.

2. Since K is the middle of the segment MN, then MK = KN = 10. Then the length of the segment MN = MK + KN, MN = 10 + 10 = 20.

3. The length of the segment ME = MK + KE, then the length of ME = 10 + 5 = 15.

Answer: MK = 10, ME = 15, MN = 20.