To determine the heights of the ornaments based on the provided information:
-
Equilateral Triangle:
- Base = 4 inches
- Height (bisecting line) = \( 2\sqrt{3} \) inches
- Calculate: \( 2\sqrt{3} \approx 3.46 \) inches
-
Rhombus (Diamond):
- Side = 3 inches
- Height (bisecting line) = \( 3\sqrt{2} \) inches
- Calculate: \( 3\sqrt{2} \approx 4.24 \) inches
-
Square:
- Side = 4 inches
- Height (bisecting line) = 4 inches
Now, let’s order these heights:
- Rhombus: approximately 4.24 inches (tallest)
- Square: 4 inches (second)
- Triangle: approximately 3.46 inches (shortest)
Therefore, when ordered from tallest to shortest, the correct sequence is:
diamond, square, triangle
So the answer is: diamond, square, triangle