USAMO 1972 Problem 5
- Day 2
- Difficulty band 7
- Answer
A pentagon is such that each triangle formed by three adjacent vertices has area 1. Find its area, but show that there are infinitely many incongruent pentagons with this property.
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
\frac{\sqrt{5} + 5}{2}
Solutions
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