Question

In AABC, EF | AB. What is the ratio of BC to FC?

Answer 1

`$ \frac{\textbf{BC}}{\textbf{FC}}} = \frac{ \textbf{7 }}{\textbf{4}} $`

Explanation:

Given that EF ║ AB.

So, we have:
`$ \frac{ \textbf{CE}} {\textbf{EA}} = \frac{ \textbf{CF}} {\textbf{FB}} $`

Also,
`$ \frac{ \textbf{AC}} {\textbf{CE}} = \frac{\textbf{CB}}{\textbf{CF}} $`

Note that: AC = CE + EA = 3 + 4 = 7 and CE = 3

Therefore,
`$ (CB)/(CF) = (7)/(4) $`

Hence, the answer.