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.
Substitute the given values in the above equation.
Therefore, the length of AC is 32 units.
