Question

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

Answer 1

`\displaystyle 18 = x`

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

_________

`\displaystyle (36)/(2) = (2x)/(2) \\ \\ 18 = x`

BC is a double 15, so we set 30 equal to it.

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