Points A, B and C are collinear in the order in which they are listed. AB = 4 cm, BC = 6 cm. Find the distance

Points A, B and C are collinear in the order in which they are listed. AB = 4 cm, BC = 6 cm. Find the distance between the midpoints of line segments AC and BC.

1.Let’s find the entire length of the segment AC:

4 + 6 = 10 (cm).

2. Let’s denote the midpoint of the segment AC by point M. Find the length of the MC:

MC = AM = 10/2 = 5 (cm).

3. Let us denote the middle of the segment BC by point K. Find the length of KC:

KС = BK = 6/2 = 3 (cm).

4. Find the distance between the midpoints of the segments AC and BC, that is, the length of the segment MK:

МK = МC – KС = 5 – 3 = 2 (cm).

Answer: The distance between the midpoints of segments AC and BC is 2 cm.