Could someone help explain to me how to do this problem?

Question

anonymous · Answer

attachment

anonymous · Answer

nyan cat cant solve math problems

hoblos · Answer

here u must find the center of the circumscribed circle of the triangle(g1g2g3)
here the triangle seems to be right
so it is the midpoint of the hypotenuses

anonymous · Answer

no guaranterr that all 3 would fall on same circle so prob has n solution

hoblos · Answer

arjuna each triangle has a circumscribed circle

anonymous · Answer

use the orthocenter

anonymous · Answer

interesting way to disguise math in a question ;)

anonymous · Answer

i mean, this is an interesting application of geometry

hoblos · Answer

sorry sarah but the orthocenter is useless here

anonymous · Answer

its a seriously good question, 
some real world problems are hokey, this one is god

anonymous · Answer

hoblos, ok what does the orthocenter tell you ?

anonymous · Answer

ok that makes sense, the circumcenter is the same distance to each of the three vertices, since they are radii

hoblos · Answer

the intersection of the altitudes of the triangle

hoblos · Answer

yup thats it

hoblos · Answer

btw where are you from sarah?
if you dont mind

anonymous · Answer

the orthocenter is the intersection of the perpindicular bisectors

anonymous · Answer

i am from maryland

hoblos · Answer

i've never heard about this :S

hoblos · Answer

btw it is not intersection of the perpindicular bisectors it is intersection of the altitudes or heights

anonymous · Answer

centroid?

hoblos · Answer

what about the centroid arjuna??

anonymous · Answer

dropping altitudes and calculating intersection

hoblos · Answer

no centroid is dropping the medians and calculating intersection

anonymous · Answer

Thank you, everyone! c: