Answer:
No, because 3 + 5 < 9, 5 + 9 > 3, and 9 + 3 > 5
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
so
Applying the Inequality Theorem
1) EF+FG > GE
substitute
3+5 > 9
8 > 6 ----> is not true
2) EF +GE > FG
substitute
3+9 > 5
12 > 5 ---> is true
3) FG+GE > EF
substitute
5+9 > 3
14 > 3 ----> is true
therefore
No, because 3 + 5 < 9, 5 + 9 > 3, and 9 + 3 > 5
