3 years ago

Help me out please???

Mathematics

1 answer:

Radda [10]3 years ago

3 0

If G is the incenter of ∆ABC, then GD = GF = GE.

Given, GD is 3x + 5 and GF is 6x - 4.

According to the above statement,

GD = GF

or, 3x + 5 = 6x - 4

or, 5 + 4 = 6x - 3x

or, 9 = 3x

or, 9/3 = x

or, 3 = x

The value of x is 3.

By putting the value of x in GD or GF, we get

GD = 3(3) + 5 = 9 + 5 = 14

GF = 6(3) - 4 = 18 - 4 = 14

Therefore, GE = <u>14</u>.

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