3 years ago

In the figure shown, GD = 3x + 5, GF = 6x-4, and G is the incenter of AABC. Find GE

Mathematics

1 answer:

DerKrebs [107]3 years ago

5 0

Answer:

GE = 14

Step-by-step explanation:

The incenter is equidistant from the sides, so GD = GE = GF.

Set the expressions for GD and GF equal to each other and solve for x.

3x + 5 = 6x - 4

5 = 3x - 4

9 = 3x

3 = x

Now plug this value into either expression, say for GD. GD = 3(3) + 5 = 14.

GE must be the same, GE = 14

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