Which statements regarding δefg are true? check all that apply.

ef + fg > eg
eg + fg > ef
eg - fg < ef
ef - fg > eg
eg + ef < fg

Answer-

The correct options are,

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,

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

Option 3 is equal to the option 1, so it also correct.

Other 2 options does not match the conditions.

are the true statements .

Step-by-step explanation:

We know that  the triangle inequality says that the sum of the lengths of any two sides of a triangle is greater than the length of the remaining side.

Therefore, being a triangle ΔEFG must satisfy the triangle inequality.

Such that,

Hence, the true statements are :-