u/AdministrationOne538

🔥 Can You Crack This Olympiad-Level Geometry Challenge? 🔥

A seemingly simple area problem… hiding a beautiful geometric trick.

Found it in my olympiad practice sheet. Drop your solution below — synthetic proofs are appreciated .#Geometry #OlympiadMath #MathChallenge #EuclideanGeometry #IMO

🔥 Can You Crack This Olympiad-Level Geometry Challenge? 🔥 A seemingly simple area problem… hiding a beautiful geometric trick. Found it in my olympiad practice sheet. Drop your solution below — synthetic proofs are appreciated .#Geometry #OlympiadMath #MathChallenge #EuclideanGeometry #IMO

u/AdministrationOne538 — 13 days ago
▲ 8 r/mathbiceps+1 crossposts

A Beautiful Geometry Proof Challenge. Olympiad flavoured . Relevant for RMO,INMO,IOQM. Try solving .

Problem 5.20 (Harvard-MIT Math Tournament 2013). Let triangle ABC satisfy

2BC = AB + AC and have incenter I and circumcircle ω. Let D be the intersection

of AI and ω (with A, D distinct). Prove that I is the midpoint of AD.

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u/AdministrationOne538 — 30 days ago

Guys try this problem from AIME(american invitational mathematical olympiad) . not able to solve it and find its solution anywhere .

u/AdministrationOne538 — 1 month ago