Question

If G is the circumcenter of triangle ABC, find CG and FB. Round to the nearest tenth if necessary.
PLS HELP FOR GEOMETRY

Answer 1

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Answer:

  CG = 19

  FB = 14.7

Step-by-step explanation:

The circumcenter is equidistant from the triangle vertices, so GA = GB = GC.

The length of GA is given, so we have ...

  GA = 19 = CG

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Then the Pythagorean theorem can be used to find FB.

  FB² +FG² = GB²

  FB² = GB² -FG² = 19² -12² = 217

  FB = √217 ≈ 14.7