Two-Time IMO Gold Medalist Becomes President of Romania
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Re: Two-Time IMO Gold Medalist Becomes President of Romania
#2If you like geometry I recommend problem 2 from that 1987 IMO. Simple formulation, elegant solution. Hard, but not crazy hard imo.
"In an acute-angled triangle ABC the interior bisector of the angle A intersects BC at L and intersects the circumcircle of ABC again at N. From point L perpendiculars are drawn to AB and AC, the feet of these perpendiculars being K and M respectively. Prove that the quadrilateral AKNM and the triangle ABC have equal areas."
Re: Two-Time IMO Gold Medalist Becomes President of Romania
#3Link to underlying link rather than to the quote-tweet spam:
https://xcancel.com/ruxandrateslo/status/1924206417000403328
> @RuxandraTeslo: “I hadn't realized this but Romania's next president was 1st in the world in the International Maths Olympiad 2 years in a row with maximum score”
Re: Two-Time IMO Gold Medalist Becomes President of Romania
#4If you like geometry I recommend problem 2 from that 1987 IMO. Simple formulation, elegant solution. Hard, but not crazy hard imo. "In an acute-angled triangle ABC the interior bisector of the angle A intersects BC at L and intersects the circumcircle of ABC again at N. From point L perpendiculars are drawn to AB and AC, the feet of these perpendiculars being K and M respectively. Prove that the quadrilateral AKNM an…
I draw it. https://imgur.com/a/W3RH0C2 It's obviously not a proof, but GeoGebra agree the areas are equal :)
PS: Is it possible to link to GeoGebra (or something similar) without an account? I have the ggb file in my desktop.
Re: Two-Time IMO Gold Medalist Becomes President of Romania
#5Link to underlying link rather than to the quote-tweet spam: https://xcancel.com/ruxandrateslo/status/1924206417000403328 > @RuxandraTeslo: “I hadn't realized this but Romania's next president was 1st in the world in the International Maths Olympiad 2 years in a row with maximum score” His name is Nicușor Dan. He was first in 1987 and 1988. https://wikipedia.org/wiki/Nicu%C8%99or_Dan
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Re: Two-Time IMO Gold Medalist Becomes President of Romania
#6Link to underlying link rather than to the quote-tweet spam: https://xcancel.com/ruxandrateslo/status/1924206417000403328 > @RuxandraTeslo: “I hadn't realized this but Romania's next president was 1st in the world in the International Maths Olympiad 2 years in a row with maximum score” His name is Nicușor Dan. He was first in 1987 and 1988. https://wikipedia.org/wiki/Nicu%C8%99or_Dan
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