Answer: The measure of AC is 32.
Explanation:
It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.
The midpoint theorem states that the 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.
So by midpoint theorem length of AC is twice of DF.
[tex]AC=2\times DF[/tex]
[tex]AC=2\times 16[/tex]
[tex]AC=32[/tex]
Therefore, the length of AC is 32.
