The distance from C to G is 32 units and this can be determined by using the properties of the circumcenter of a triangle.
Given :
AG = 4x + 16
BG = 10x - 8
The following steps can be used in order to determine the distance from C to G:
Step 1 - Remember in the given diagram G is the circumcenter because all the perpendicular bisector intersects at point G.
Step 2 - Now, if G is the circumcenter then:
AG = BG = CG
Step 3 - Now, substitute the value of AG and BG in the above expression.
4x + 16 = 10x - 8
24 = 6x
x = 4
Step 4 - Now, use the relation BG = CG in order to determine the value of CG.
10(4) - 8 = CG
CG = 32
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https://brainly.com/question/22051318
