Question

If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm.

Answer 1

The length of segment AB is 4.5 cm since D is the midpoint of AC, and C is the midpoint of DB, with AC being 3 cm.

Step-by-step explanation:

To find the length of segment AB given that D is the midpoint of segment AC and C is the midpoint of segment DB, and that AC = 3 cm, we first consider the properties of midpoints. Since D is the midpoint of AC, we have AD = DC, and since AC = 3 cm, therefore AD = DC = 1.5 cm. Similarly, since C is the midpoint of DB, we have DC = CB, and therefore CB = 1.5 cm. To find AB, we add the lengths of AD, DC, and CB.

AB = AD + DC + CB
= 1.5 cm + 1.5 cm + 1.5 cm
= 4.5 cm

Thus, the length of segment AB is 4.5 cm.

Answer 2

I think the answer is 3.5 cm