Sometimes yes, usually no.
When you cut up two triangles, you have 6 pieces of straight line. If you have
two pieces that are the same length, and another two that are also equal, then
you can use those two pairs to make a parallelogram. Plus you still have two
pieces of straight line left over that you might be able to sell on ebay.
If you can't make two pairs of equal-length lines somehow out of the 6 pieces,
then there's no way to make a parallelogram out of all that wreckage, and all
you've accomplished was to ruin two perfectly good triangles.
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the shape that can make two smaller triangles is parallelogram.
No?
a square
A double house?.
The answer depends on the shapes and sizes of the triangles. I can make a big triangle, a quadrilateral, pentagon, hexagon, etc up to 12 sides.