Question

PLS HELP

DG , EG , and FG are perpendicular bisectors of the sides of △ABC . BE=3 centimeters and GE=4 centimeters.

What is AG ?

Answer 1

`AG=5\ cm`

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`