Answer:
DF = 11√2
DF = 15.56 inch
The complete question is shown in the image attached;
Explanation:
Given;
CD = 11 inch
CF = 11√3 inch
To solve this problem, let's assume the shape is a cube and check if it's true.
If the shape is a cube, then
CF^2 = CD^2 + CD^2 + CD^2
CF = √(3CD^2)
Substituting CD;
CF = √(3 × 11^2)
CF = 11√3
Confirmed.
Length DF;
DF^2 = DB^2 + BF^2
DB = BF = CD = 11 inch
DF = √(2CD^2)
DF = √(2×11^2)
DF = 11√2
DF = 15.56 inch