contestada

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 :

leon19
ΔThe Answer is B).ED + EF < DFΔ
calculista

we know that

The Triangle Inequality Theorem states that the sum of any [tex]2[/tex] sides of a triangle must be greater than the measure of the third side

in this problem

we have the segments EF, FD and DE

to construct a triangle three inequalities must be met

case 1)

[tex]EF+FD > DE[/tex]

case 2)

[tex]FD+DE > EF[/tex]

case 3)

[tex]EF+DE > FD[/tex]

therefore

the answer is

ED + EF < DF

EF + FD < DE