To determine the correct order of the hanging ornaments from tallest to shortest based on their heights, we analyze the given information.
-
Equilateral Triangle:
- Height (bisecting line): \(2 \times \sqrt{3}\) inches
-
Rhombus:
- Height (bisecting line): \(3 \times \sqrt{2}\) inches
-
Square:
- Height: 4 inches
Now, we need to calculate the approximate values of the heights:
-
Equilateral Triangle: \[ 2 \times \sqrt{3} \approx 2 \times 1.732 = 3.464 \text{ inches} \]
-
Rhombus: \[ 3 \times \sqrt{2} \approx 3 \times 1.414 = 4.242 \text{ inches} \]
-
Square:
- Height = 4 inches
Now we compare the heights:
- Triangle: 3.464 inches
- Rhombus: 4.242 inches
- Square: 4 inches
Ordering from tallest to shortest, we have:
- Rhombus: 4.242 inches
- Square: 4 inches
- Triangle: 3.464 inches
Thus, the correct order from tallest to shortest is: diamond (rhombus), square, triangle.
So, the response is: diamond, square, triangle.