Respuesta :

InesWalston

Answer-

The correct options are,

[tex]EF + FG > EG\\\\EG + FG > EF\\\\EG - FG < EF[/tex]

Solution-

Triangle Inequality Theorem

The sum of any 2 sides of a triangle must be greater than the measure of the third side.

Applying so in the given triangle EFG,

  1. [tex]EF+FG>EG[/tex]
  2. [tex]FG+GE>EF[/tex]
  3. [tex]GE+EF>FG[/tex]

Option 1 and Option 2 matches with the derived inequalities, so they are correct.

Option 3 is [tex]EG - FG < EF\Rightarrow EG < EF+FG[/tex] equal to the option 1, so it also correct.

Other 2 options does not match the conditions.


MrRoyal

The true statements regarding ΔEFG are:

EF + FG > EG

EF + EG > FG

EG + FG > EF

How to apply the triangle inequality theorem

The sides of the triangle are:

EF, FG and EG

Using the triangle inequality theorem, we have:

EF + FG > EG

EF + EG > FG

EG + FG > EF

The above inequalities can be rewritten in several forms

Hence, the true statements are: options (1) to (3)

Read more about the triangle inequality theorem at:

https://brainly.com/question/2403556