Question

Point C is the midpoint of segment AB and point O is the midpoint of segment AC . Find CB, AO, OB, if AB = 2 cm

Answer 1

CB = 1
AO = .5
OB = 1.5

You can find this by determining the distances based on total percentage of the line. AB is 100% of the line. CB = 50%, AO = 25% and OB = 75%. Then multiply those percentages by the total length.

Answer 2

CB =1, AO=0.5 and OB=1.5

Explanation:

Given: Point C is the midpoint of segment AB and point O is the midpoint of segment AC

To Find: Find CB, AO, OB, if AB = 2 cm.

Solution:

In line segment AB,

C is the midpoint of AB, therefore

`\text{AC}=\text{BC}`

also,

`\text{AC}=\text{BC}=(1)/(2)\text{AB}`

in line Segement AC,

O is the mid point of AC, therefore

`\text{AO}=\text{CO}`

also,

`\text{AO}=\text{CO}=(1)/(2)\text{AC}`

Now,

`\text{AB}=2`

`\text{BC}=(1)/(2)AB`

`\text{BC}=(1)/(2)*2`

`\text{BC}=1=\text{AC}`

also,

`\text{AO}=\text{CO}=(1)/(2)\text{AC}`

`\text{AO}=\text{CO}=(1)/(2)*1`

`\text{AO}=\text{CO}=0.5`

`\text{OB}=\text{BC}+\text{OC}`

`\text{OB}=1.5`

Therefore in given line segment
`\text{CB}=1`,
`\text{AO}=0.5` and
`\text{OB}=1.5`