In δefg, is it possible for segment ge to measure 9 units

Is not possible that the segment GE measure 9 units

Step-by-step explanation:

The complete question is

Triangle EFG in which segment EF measures 3 units and segment FG measures 5 units

In ΔEFG, is it possible for segment GE to measure 9 units?

we know that

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

Verify

1) EF +FG > GE

substitute the given values

3+5 > 9

8 > 9 > is not true

It is not necessary to check the other two conditions because the first one no longer fulfills

therefore

Is not possible that the segment GE measure 9 units

The length of segment GE must be less than 8 units