truncated pyramid
There is not such thing as a three-dimensional triangle. You are thinking of a tetrahedron which is a three-dimensional figure with each side being a triangle. This has four vertices.
A triangle.
Put the two bases of the triangle together. To form a square. Place the squares side by side to form a rectangle
extra 6 dimensions of 10 dimensional spacetime
The Triangle must have a base the dimension of the side of the square, the hypotenuse must also be the same length as the side of the square. Then lay the triangle onto the square so the base is exactly over one side of the square and the opposing point is touching the squares opposite side. The triangle covers 1 of the segments of the square and the uncovered parts make up the other 2. Am I even close?
There is not such thing as a three-dimensional triangle. You are thinking of a tetrahedron which is a three-dimensional figure with each side being a triangle. This has four vertices.
You can do it only of the triangle is right angled and if one of its legs is the same length as the side of the square. In that case, let that side of the triangle abut a side of the square.
A triangle.
Put the two bases of the triangle together. To form a square. Place the squares side by side to form a rectangle
at the bottom is is a square and triangle on the sides
extra 6 dimensions of 10 dimensional spacetime
The Triangle must have a base the dimension of the side of the square, the hypotenuse must also be the same length as the side of the square. Then lay the triangle onto the square so the base is exactly over one side of the square and the opposing point is touching the squares opposite side. The triangle covers 1 of the segments of the square and the uncovered parts make up the other 2. Am I even close?
One side of a square would be untouched with only 3 triangle faces attached to it. To make an entire closed shape, it would need another part or some 3 dimensional bending would need to take place. A pyramid has 1 square face and 4 triangle faces. A pyramid could also have 4 triangle faces where one triangle substitutes the square face.
a square
It is not possible to answer the question. The fact that there are three numbers given suggests it is a 3-dimensional object and it is not possible, with just the side lengths to determine its area. It cannot be a triangle.
You do not indicate if the given area is the total area of the square and the triangle. Or whether they are equal values.
There's no general rule or pattern to that. The rule/pattern of the side lengths on a right triangle is: (the square of the length of the shortest side) plus (the square of the length of the medium side) adds up to (the square of the length of the longest side)