Apart from both being a geometric 2D shape, there is little similarity between the two. A rectangle has four parallel sides and a right-angle in each of the four corners. A right-angle triangle has three sides and only a right-angle in one corner.
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right triangle square rectangle
A rectangle has four sides whereas a right angle triangle has only three sides.
If the 2 triangles are right triangles, which are congruent to slicing the rectangle on the diagonal, then arrange one on top of the rectangle, and the other to the side, so that the two hypotenuses are in line with each other. This will make a bigger right triangle, which is similar to the smaller right triangles - each side is double of the smaller triangles.
The main differences are. A triangle is three sided while a rectangle is four sided. The corners of a triangle can be any angle. All corners of a rectangle must be 90 degrees. This means that the left and right sides are parallel, and the top and bottom sides are parallel.
A 30-60-90 right triangle