To find the value of DG, we need to express DG in terms of the variable x. The question states that DG is represented by the expression 3x + 2. However, we first need to determine the value for x.
Given that CG is 5 units, we can deduce that if the problem provides a relationship between CG and DG, we might need to set up an equation. If we assume that CG = DG, we could set up the equation as:
3x + 2 = 5
We can solve for x:
3x = 5 – 2
3x = 3
x = 1
Now that we have the value of x, we can substitute it back into the original expression for DG:
Dg = 3(1) + 2
Dg = 3 + 2
Dg = 5 units
So, DG is also 5 units. This shows that in this triangle, both segments CG and DG are equal in length.