You get 6 triangles.
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A hexagon have three diamonds. Two perfect diamonds attach together and the third diamond cut into half to create a hexagon. I know it can be a bit confusing but that is the logic of have three diamonds in a hexagon.
Draw a line from midpoint of every other side to the center.
Select any point inside the hexagon and draw a line segment to any point on the boundary of the hexagon. Draw 7 more such segments. These will divide the hexagon into 8 parts. The parts will not be equal but that was not a requirement of the question.
To divide a hexagon into three equal parts, you can draw lines from each vertex to the opposite side's midpoint, creating six smaller triangles within the hexagon. Then, draw a line connecting the midpoints of two opposite sides. This line will divide the hexagon into three equal parts, each containing two of the smaller triangles. This method ensures that each part has an equal area and maintains the symmetry of the hexagon.
The interior angle of a regular hexagon is 120 degrees.