To determine the order of the heights of the ornaments (the triangle, rhombus, and square), we need to calculate the heights based on the information provided.
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Equilateral Triangle:
- The base = 4 inches
- The height (bisecting line) = \(2 \sqrt{3}\) inches
\(2 \sqrt{3} \approx 2 \times 1.732 = 3.464\) inches (approx.)
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Rhombus:
- Side length = 3 inches
- The height (bisecting line) = \(3 \sqrt{2}\) inches
\(3 \sqrt{2} \approx 3 \times 1.414 = 4.242\) inches (approx.)
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Square:
- Side length = 4 inches
- The height (bisecting line) = 4 inches
Now, comparing the calculated heights:
- Triangle: approx. 3.464 inches
- Rhombus: approx. 4.242 inches
- Square: 4 inches
Ordering from tallest to shortest:
- Rhombus (approx. 4.242 inches)
- Square (4 inches)
- Triangle (approx. 3.464 inches)
Thus, the order is: rhombus, square, triangle.
None of the provided responses match that order exactly, but if "diamond" represents the rhombus, then the correct response is:
diamond, square, triangle.