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

Respuesta :

If the sum of any 2 sides is less than the third side  you won;t get a triangle

B is the correct option.

Answer:

Option B

Step-by-step explanation:

In a triangle, as per triangle conjecture, the sum of two sides will always be strictly greater than the third side

From the given four options,

[tex]EF + FD > DE\\ED + EF < DF\\ED + EF > DF\\EF + FD < DE[/tex]

we see that option B is inconsistent with this requirement

Hence option B is right answer.