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

c

step-by-step explanation:

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol