ae = ec and bf = fc. ef = 8 and df = 10. ab = ?
ae = ec and bf = fc. ef = 8 and df = 10. ab = ?
Answer
Explanation:
Step1: Identify mid - segment properties
Since $AE = EC$ and $BF=FC$, $EF$ is a mid - segment of $\triangle ABC$. By the mid - segment theorem, $EF\parallel AB$ and $EF=\frac{1}{2}AB$ when considering the relationship between the mid - segment and the side of the triangle.
Step2: Analyze the other information
We are given $EF = 8$.
Answer:
$AB = 16$