Question
22. Triangle DEF is formed by connecting the midpoints of the sides of triangle ABC. The lengths of the sides of triangle DEF are shown. What is the length of AC? a. 2 units b. 4 units C. 6 units d. 8 units
Answer
4.2
(197 Votes)
Isabella
Professional · Tutor for 6 years
Answer
Without the lengths of the sides of triangle DEF, we cannot provide a specific value for the length of AC. However, we can infer that the length of AC is twice the length of any of the given options.
Explanation
## Step 1: Identify the given lengths of the sides of triangle DEF. In this case, the lengths are not explicitly given in the problem. However, we can infer that the length of DF (which corresponds to AC in triangle ABC) is the one we need to find.## Step 2: Apply the Midsegment Theorem. The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half its length. Therefore, the length of AC is twice the length of DF.## Step 3: Since the lengths of the sides of triangle DEF are not given, we cannot calculate the exact length of AC. However, we can infer that the length of AC is twice the length of DF. Therefore, the correct answer must be twice the length of any of the given options.