Question:
One side of an equilateral triangle is equal to 1. Quantity A: The area of the triangle. Quantity B: 12.
One side of an equilateral triangle is equal to 1. Quantity A: The area of the triangle. Quantity B: 12.
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Always know the formula for the area of an equilateral triangle: \(\tfrac{\sqrt{3}}{4} s^2\).
Updated On: Oct 3, 2025
- Quantity A is greater.
- The relationship cannot be determined.
- Quantity B is greater.
- The two quantities are equal.
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The Correct Option is C
Solution and Explanation
Step 1: Formula for area of equilateral triangle.
\[ \text{Area} = \frac{\sqrt{3}}{4} s^2 \] Step 2: Substitute side \(s = 1\).
\[ \text{Area} = \frac{\sqrt{3}}{4} \approx 0.433 \] Step 3: Compare quantities.
Quantity A = \(0.433\).
Quantity B = 12. Clearly, Quantity B is larger.
Final Answer:
\[ \boxed{\text{Quantity B is greater}} \]
\[ \text{Area} = \frac{\sqrt{3}}{4} s^2 \] Step 2: Substitute side \(s = 1\).
\[ \text{Area} = \frac{\sqrt{3}}{4} \approx 0.433 \] Step 3: Compare quantities.
Quantity A = \(0.433\).
Quantity B = 12. Clearly, Quantity B is larger.
Final Answer:
\[ \boxed{\text{Quantity B is greater}} \]
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