For this case, the first thing we must observe is that the triangles are similar.
We can then use the following relationship:
[tex]BC / DE = AB / (AB + BD)
[/tex]
Clearing the value of BC we have:
[tex]BC = (AB / (AB + BD)) * (DE)
[/tex]
Substituting the values we have:
[tex]BC = (1 / (1 + 4)) * (6)
[/tex]
Rewriting we have:
[tex]BC = (1/5) * (6)
BC = 6/5
BC = 1.2[/tex]
Answer:
The length of BC is given by:
BC = 1.2
