Answer:
AC=32 units.
Step by step explanation:
Given information: B, D, and F are midpoints if the sides of ΔACE, EC = 38 and DF = 16.
Consider the below figure attached with this question.
According to the midpoint theorem, if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.
Since F and D are midpoints of AE and EC respectively.
Using midpoint theorem, the length of AC is twice of DF.
[tex]AC=2\times DF[/tex]
Substitute the given values in the above equation.
[tex]AC=2\times 16[/tex]
[tex]AC=32[/tex]
Therefore, the length of AC is 32 units.
