Question

PLS HELP

Answer 1

Answer:

$AG=5\ cm$              

Step-by-step explanation:

we know that

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter (point G)

The circumcenter is equidistant from the vertices of the triangle

so

AG=CG=BG

Find the length side BG

In the right triangle BGE

Applying the Pythagorean Theorem

$BG^2=GE^2+BE^2$

substitute the given values

$BG^2=4^2+3^2$

$BG^2=25$

$BG=5\ cm$

therefore

$AG=5\ cm$