In Triangle ABC, point G is the Circumcenter of the trianle. If BC= 2x - 6, solve for x.

Answer:
[tex]\displaystyle 18 = x[/tex]
Step-by-step explanation:
In the circumcentre of a triangle, you have perpendicular bisectors, therefore having midpoints EFD. This means that EC and EB are congruent:
30 = 2x - 6
+ 6 + 6
_________
[tex]\displaystyle \frac{36}{2} = \frac{2x}{2} \\ \\ 18 = x[/tex]
BC is a double 15, so we set 30 equal to it.
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