100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 37

37 of 100: Carved Triangles

Geometry Level 2

If the two triangles above are congruent, equilateral triangles, which is greater, the total area of the three red\color{#D61F06}{\text{red}} regions or the total area of the six purple\color{#69047E}{\text{purple}} regions?

The circle in figure A is tangent to all sides of the triangle. The center circle of figure B is tangent to the other three circles, which are themselves tangent to the sides of the triangle; those four circles are all congruent.


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