The length of Side C D is 11 inches and the length of Side C F is 11 StartRoot 3 EndRoot inches. What is the length of Side D F? Round to the nearest tenth.

DF = 11√2

DF = 15.56 inch

The complete question is shown in the image attached;

Step-by-step 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

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step-by-step explanation: