No- a triangle is a plane figure, not a solid.
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yes a triangle is a solid figure
A solid figure is a three-dimensional figure, such as a tetrahedron, cube, octahedron, dodecahedron, or icosahedron. A non-solid figure, such as a triangle, square, pentagon, etc... is a plane figure.
Triangle
Octogon
If you cut a rectangle in half you wouldn't get a solid figure at all, since a rectangle is a plane figure. If you made a straight line cut you would get either a triangle or a quadrilateral of some variety depending on exactly how the cut was made.