The corners of an equilateral triangular plate were cut in such a manner that it forms a regular hexagonal plate. What is the ratio of the area of the triangular plate to the area of the hexagonal plate?

Explanation

When the corners of an equilateral triangle are cut to form a regular hexagon, the original triangle can be divided into 9 smaller congruent equilateral triangles. The regular hexagon consists of 6 of these small triangles. The area ratio is 9:6 = 3:2.

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