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

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15