For this problem, we are given a triangle with a line that bisects its base BC on point D. We need to determine DB using the fact that CB is equal to 6.8.
A bisector divides a segment in two equal parts. Since the line I bisects the segment CB, then it divides this segment in two equal parts such as:
[tex]\begin{gathered} CB=CD+DB\\ \\ CB=x+x\\ \\ CB=2x \\ \end{gathered}[/tex]
Since the value of CB is equal to 6.8, we have:
[tex]\begin{gathered} 6.8=2x\\ \\ 2x=6.8\\ \\ x=\frac{6.8}{2}=3.4 \end{gathered}[/tex]
The value of DB is equal to 3.4 cm.
