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

9514 1404 393

Answer:

CG = 19

FB = 14.7

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

__

Then the Pythagorean theorem can be used to find FB.

FB² +FG² = GB²

FB² = GB² -FG² = 19² -12² = 217

FB = √217 ≈ 14.7