Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
Use the image to answer the question. 3 shapes are shown side by side: an equilateral triangle, a rhombus, and a square. Each h...Question
Question
Use the image to answer the question.
3 shapes are shown side by side: an equilateral triangle, a rhombus, and a square. Each has a vertical line that bisects it. Each has a hook-like shape extending from the top. Measurements labels are included for the bisecting line and an exterior face. The base of the triangle is labeled 4 inches and the bisecting line is labeled 2 times start root 3 end root inches. The side of the rhombus is labeled 3 inches and the bisecting line is labeled 3 times starts root 2 end root inches. The side of the square is labeled 4 inches and the bisecting line is labeled 4 inches.
A company makes hanging ornaments in various shapes. The heights of the ornaments are shown. Using a calculator, order these ornaments from tallest to shortest.
(1 point)
Responses
diamond, square, triangle
diamond, square, triangle
triangle, square, diamond
triangle, square, diamond
square, triangle, diamond
square, triangle, diamond
square, diamond, triangle
Use the image to answer the question.
3 shapes are shown side by side: an equilateral triangle, a rhombus, and a square. Each has a vertical line that bisects it. Each has a hook-like shape extending from the top. Measurements labels are included for the bisecting line and an exterior face. The base of the triangle is labeled 4 inches and the bisecting line is labeled 2 times start root 3 end root inches. The side of the rhombus is labeled 3 inches and the bisecting line is labeled 3 times starts root 2 end root inches. The side of the square is labeled 4 inches and the bisecting line is labeled 4 inches.
A company makes hanging ornaments in various shapes. The heights of the ornaments are shown. Using a calculator, order these ornaments from tallest to shortest.
(1 point)
Responses
diamond, square, triangle
diamond, square, triangle
triangle, square, diamond
triangle, square, diamond
square, triangle, diamond
square, triangle, diamond
square, diamond, triangle
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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.
1. **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.)
2. **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.)
3. **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:
1. Rhombus (approx. 4.242 inches)
2. Square (4 inches)
3. 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**.
1. **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.)
2. **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.)
3. **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:
1. Rhombus (approx. 4.242 inches)
2. Square (4 inches)
3. 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**.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.