Answer:
CB =1, AO=0.5 and OB=1.5
Step-by-step 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
[tex]\text{AC}=\text{BC}[/tex]
also,
[tex]\text{AC}=\text{BC}=\frac{1}{2}\text{AB}[/tex]
in line Segement AC,
O is the mid point of AC, therefore
[tex]\text{AO}=\text{CO}[/tex]
also,
[tex]\text{AO}=\text{CO}=\frac{1}{2}\text{AC}[/tex]
Now,
[tex]\text{AB}=2[/tex]
[tex]\text{BC}=\frac{1}{2}AB[/tex]
[tex]\text{BC}=\frac{1}{2}\times2[/tex]
[tex]\text{BC}=1=\text{AC}[/tex]
also,
[tex]\text{AO}=\text{CO}=\frac{1}{2}\text{AC}[/tex]
[tex]\text{AO}=\text{CO}=\frac{1}{2}\times1[/tex]
[tex]\text{AO}=\text{CO}=0.5[/tex]
[tex]\text{OB}=\text{BC}+\text{OC}[/tex]
[tex]\text{OB}=1.5[/tex]
Therefore in given line segment [tex]\text{CB}=1[/tex], [tex]\text{AO}=0.5[/tex] and [tex]\text{OB}=1.5[/tex]
