Answer:
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
