Mass Point Geometry - Math with Physics! Ceva's Theorem & AMC 8 2019/24

[@SlippingHexagons]

I used some strange wording in starting the proof of ceva's theorem. A better way to think about it is, given 3 concurrent cevians, we give each of the points masses m_a, m_b, and m_c so that the center of mass lies at their intersection. Then we can find the ratios between the sides using that. And to match what I was trying to say in the video, this center of mass isn't fixed, the center of mass can be moved to the location of concurrency of any given cevian, and they allow us to compute lengths without using math. I hope this clears up any confusion (if there was any) :).

[@tujan7598]

How does this problem have 18 solutions on it's aops page?

[@SlippingHexagons]

I have no idea lol

[@anthonyhe7679]

I like to watch this and pretend I understand what's going on

[@SlippingHexagons]

I see lol

[@anthonyhe7679]

@@SlippingHexagons How's school lol

[@SlippingHexagons]

@@anthonyhe7679 School's pretty good, but I've had a lot of busywork lately :(. How about you?

[@anthonyhe7679]

@@SlippingHexagons Yeah same :( At least I got shelton :D

[@SlippingHexagons]

@@anthonyhe7679 Dang luckyyy >:(