To order the ornaments from tallest to shortest, we first need to interpret the heights given for each shape.
- Triangle: Height = 4 in
- Diamond: The diamond's height is not explicitly given; however, if we take the height as the shorter side of its vertical cross-section, this would be 4 in (assuming the widest part stands upright), while the other given dimension of \(3\sqrt{2} \approx 4.24\) in can be considered its diagonal.
- Rectangle (Square): Height = 4 in
Now, let's list the heights:
- Triangle: 4 in
- Diamond: 4.24 in (if we interpret it as the diagonal)
- Square: 4 in
Now, we can rank them from tallest to shortest:
- Diamond: \(3\sqrt{2} \approx 4.24\) in
- Triangle: 4 in
- Square: 4 in
So the ranking based on the heights is:
- Diamond
- Triangle
- Square
Assuming "square" refers to a square ornament rather than a rectangle, and interpreting "thangle" to likely mean "triangle", the order would be:
Answer: diamond, triangle, square.
(Note: It seems there was an issue with the options you provided as none match this exact ordering; you might want to clarify "thangle" and check for any typographical errors.)