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NTPC Graduate Tier 1 2025 Shift-1 📅 06 May, 2025

The side of an equilateral triangle is 8 cm. What is the area of this triangle?

A
16√3 cm²
B
12√3 cm²
C
32√3 cm²
D
64√3 cm²
Result Summary
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NTPC Graduate Tier 1
2025 • 06 May, 2025 • Shift-1
The side of an equilateral triangle is 8 cm. What is the area of this triangle?
Correct Answer
16√3 cm²
Equilateral Characteristics: An equilateral triangle is a perfectly symmetrical polygon where all three side lengths are identical.Formula Identification: The h......
💡 Analysis & Explanation
Equilateral Characteristics
An equilateral triangle is a perfectly symmetrical polygon where all three side lengths are identical.
Formula Identification
The highly specific mathematical formula explicitly designed to calculate the area of an equilateral triangle is (√3 / 4) × (side)².
Data Substitution
Applying the provided measurement to the theorem translates to Area = (√3 / 4) × (8 × 8).
Arithmetic Simplification
Expanding the bracket yields 64. Dividing 64 by the denominator 4 securely results in a multiplier of 16.
Conclusion
Therefore, the final geometric area is represented as exactly 16√3 cm².