Medians $\overline{AX}$ and $\overline{BY}$ of $ riangle ABC$ are perpendicular at point $G$. Prove that $AB = CG$.

Question

Medians $\overline{AX}$ and $\overline{BY}$ of $	riangle ABC$ are perpendicular at point $G$. Prove that $AB = CG$.

In your diagram, $\angle AGB$ should appear to be a right angle.

Bindi · Accepted Answer

She's not cheating, just asking for help, and why are you even on here unless you're looking for answers?

Anonymous · Answer

you are doing a geometry class for Aops and this is the problem this week. STOP CHEATING

Vic · Answer

You are too then?

Vic · Answer

Exactly, you scrub... Help is available from AoPS teachers, why else would she be asking here?

Vic · Answer

Lol, I wonder if you actually solved it right. xD

Anonymous · Answer

haha we are all cheaters

AoPS · Answer

Stop cheating! You may ask for help on our message boards, if you need it! We are currently tracking down all of your IP addresses to find your usernames. You will get a PM soon addressing this nonsense.
Thanks,
AoPS

bruh · Answer

"this nonsense" AoPS got me feelin shoOK

Seriously · Answer

Really AoPS. Like that’s believable. Seriously. You should stop.

AoPS · Answer

Hah hilarious

ummm · Answer

does aops have the authority to track ppls ip addresses like that? is that allowed? im no expert but just saying. could be wrong tho

Medians $\overline{AX}$ and $\overline{BY}$ of $\triangle ABC$ are perpendicular at point $G$. Prove that $AB = CG$.