Problem #192

Given equilateral triangle ABC, points P₁, P₂, Q₁, Q₂, R₁, and R₂ are placed on the sides of the triangle so that AQ₂/CQ₂ = CQ₁/AQ₁ = ... = λ ≥ 2/3. The figure below illustrates the case when λ = 3.

• For which λ is the area of the red region equal to that of the yellow?

• For which λ is the area of the red region equal to that of the blue?

• For which λ is the area of the blue region equal to that of the yellow?

The solution will be posted shortly.

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