which inequality explains why these three segments cannot be used to construct a triangle? ef + fd de ed + ef df ef + fd

Question

which inequality explains why these three segments cannot be used to construct a triangle? ef + fd > de ed + ef < df ed + ef > df ef + fd < de

Accepted Answer

# Explanation:
## Step1: Recall triangle - inequality theorem
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
## Step2: Analyze each option
If $ED + EF<DF$, it violates the triangle - inequality theorem. In a triangle, if the sum of two side - lengths is less than the third side, the three segments cannot form a triangle.

# Answer:
B. $ED + EF<DF$

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Question

Explanation:

Step1: Recall triangle - inequality theorem

Step2: Analyze each option

Answer: