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The article states nobody has ever found a proof for the Pythagorean theorem utilizing trigonometry before until these young ladies did.
No it doesn't.
I see that now. Higher up in the article was a bit misleading
The 60 Minutes episode is a bit misleading in how they discuss this too. Basically it's very impressive because they were high school students. A proof of this kind had only been done once before. They each found one independently and worked to find a general method for more proofs. Watch the 60 Minutes episode.
Half the time in these stories it comes out the parents/relatives/friends happen to actually be experts in the field and work at some high level place where the teens in question just happened to have access to cutting edge resources and 'guidance'.
They already went to a cutting edge private school that has a 100% graduation rate. I could see what you mean if it was just one student, but these kids were working independently. The school is the common thread.
What you say might be true if it were an easy accomplishment for an adult. Like those kids who are 10 years old with 2 businesses. Then you find out that their parents have 5 businesses. What are the chances that two students independently have outstanding mathematicians as parents?
Not only that, but they also explained their proofs. Watch the video. It's not a "kid with a boring online business" story.
And they only got $500 for it. Not quite on the level of the Fields Medal... although apparently even that's only $15,000 CAD (not sure why Wikipedia tells me the amount in Canadian money, but whatever).
Whether that's true or not, the article transcript explains why this is still a big deal:
I was going to say, I could have sworn someone else had done this before.
Still this just makes me wonder what we could accomplish if we could get everyone the quality of education private schools offer, but as a public system. Finland banned schools from charging fees, meaning they have the same solid level of education for everyone, and it clearly has benefitted them and decreased inequality.
So much wasted potential in our nations, it hurts to see it.
Doesn't matter in the US. "Education" is so focused on job training that guidance counselors will think you're mental if you're more interested in education then min-maxing your (promised)income.
Yeah, it's kinda weird. It would never be called a theorem if it hadn't already been proven 20 ways to Sunday, it would stay a theory until then.