Triflower

Geometry Level 3

ABC is an equilateral triangle.
D, E and F are midpoints of the respective sides of a hexagon DMENFO.
DMENFO is inscribed in the triangle ABC.
Another equilateral triangel MNO is inscribed inside this hexagon.
Find the ratio between the area of the small triangle and the large triangle.

1 2 \frac12 1 3 \frac13 2 5 \frac25 1 4 \frac14

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1 solution

Atvthe King
Jul 15, 2020

Trivially, since DEF is congruent to MNO, the answer is 1/4.

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