Yes, infact there is 5 ways.
1. with two pieces.
2. with three pieces.
3. with four pieces
4. with five pieces
& 5. with seven pieces.
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Sort of depends on how the two triangles are beforehand. One nice way to make four equilateral triangles from six matchsticks is to make a tetrahedron (a triangular pyramid).
Here is one way: /\ --- /\/\ ----- These are {45°, 45°, 90°} triangles. There are 3 on the bottom row, and 1 on top. Actually, any four identical isosceles triangles would work.
You can create several shapes using four triangle cutouts from a rectangle, depending on how you arrange them. For instance, you can form a larger triangle by aligning the triangles at their vertices, or create a square by positioning them in a way that their bases form the sides of the square. Additionally, overlapping the triangles can produce various abstract shapes or patterns. The possibilities are limited only by the arrangement and orientation of the triangles.
If the triangles are congruent and you match the hypotenera the right way, you can get a rectangle. If the triangles are not congruent, you can't even necessarily get a quadrilateral.
There is more than one way to join two triangles. It would be possile to assemble a parallelogram out of two congruent equilateral triangles.