The answer will depend on what you mean by a palleagram.
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A hexagon has six sides
6 triangles
the edges
Okay, for one, it's spelled symmetry. In some cases, a Hexagon may have none, but assuming you mean a regular Hexagon, it would have six lines of symmetry. Hope I help. Sorry for criticizing your spelling, kind of a pet peeve >.< (P.S. You better not use this for homework!)
To create a large triangle using one hexagon and three triangles, first, position the hexagon so that one of its sides is aligned horizontally. Then, place the three triangles around the hexagon, with their bases aligned with the hexagon's sides, forming an outward-facing triangle shape. Ensure that the points of the triangles reach outward to complete the larger triangle's vertices. Adjust the positioning to ensure all shapes fit together seamlessly, creating a cohesive larger triangle.