Question

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

Answer 1

No, because 3+5 < 9, 5+9 > 3, and 9+3 >5

Explanation:

By looking at the photograph you see it has to be No automatically, because 5+3 is only 8 and the two numbers have to equal at least 9. Then you have two No answers left, and one of them is the only one that makes since.

Answer 2

Is not possible that the segment GE measure 9 units

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