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Geometry Difficulty 3.6 AMC 10/12 Find the answer United States

Problem:

Two hexagons are attached to form a new polygon $P$ . Compute the minimum number of sides that $P$ can have.

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Solution:

A triangle can be split into two hexagons; in other words, two concave hexagons can be attached to form a triangle, like the following:

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Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.