Question

Given line l is a perpendicular bisector of ⎯⎯⎯⎯⎯⎯⎯⎯CB¯ and CB = 6.8, find DB.

Answer 1

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:

`\begin{gathered} CB=CD+DB\\ \\ CB=x+x\\ \\ CB=2x \\ \end{gathered}`

Since the value of CB is equal to 6.8, we have:

`\begin{gathered} 6.8=2x\\ \\ 2x=6.8\\ \\ x=(6.8)/(2)=3.4 \end{gathered}`

The value of DB is equal to 3.4 cm.