Final answer:
To find AC, we double the length of DF, as D and F are midpoints. Therefore, AC equals 30 units, making option A) 30 the correct answer.
Step-by-step explanation:
The question relates to finding the length of a side of a triangle when given the midpoints of the sides. We are given that points B, D, and F are midpoints of the sides of triangle AACE (although there seems to be a typo and it should probably be Triangle ACE), EC = 45 units, and DF = 15 units. Since D and F are midpoints, DF represents half of side AC. Therefore, to find the full length of side AC, we simply multiply the length of DF by 2.
AC = 2 × DF = 2 × 15 = 30 units.
Based on this calculation, option A) 30 is the correct answer.