Question

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

Answer 1

Answer:

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

Step-by-step 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, $\frac{CB}{CF} = \frac{7}{4}$

Hence, the answer.