TrigInTriangle BasicSequence 希望杯 Difficult
2013


Problem - 2964

An infinite number of equilateral triangles are constructed as shown on the right. Each inner triangle is inscribed in its immediate outsider and is shifted by a constant angle $\beta$. If the area of the biggest triangle equals to the sum of areas of all the other triangles, find the value of $\beta$ in terms of degrees.


The solution for this problem is available for $0.99. You can also purchase a pass for all available solutions for $99.

report an error