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>.
We can Notice From the Figure that the Sides of the Triangle are Equal.
If a Triangle has all of its Sides Equal, then it is an Equilateral Triangle
We know that In an Equilateral Triangle all Angles are Equal to 60°
⇒ (2x - 4) = 60°
⇒ 2x = 60° + 4°
⇒ 2x = 64°
⇒ x = 32°
Answer:
6/5 or 1 1/5
Step-by-step explanation:
Each piece is 2/5 so you add it up 3 times or multiply by 3 to get 6/5 or 1 and 1/5.
