Answer:
x = 17
y = 2
Length of DF = 20
Explanation:
Step 1: Solve x - 3
- Since GH is the mid-segment it is equal to half of EF
- Half of EF is 28/2 = 14
- x - 3 = 14
- x = 14 + 3
- x = 17
Step 2: Plug x = 17 into x - 7 and solve
- x - 7
- (17) - 7 = 10
- Since DH and HF are equal then x - 7 = y + 8
- So, 10 = y + 8
- y = 2
Step 3: Find the length of DF
- DF = y + 8 + x - 7
- DF = y + x + 1
- DF = 2 + 17 + 1 = 20