Subjects geometry

Equilateral Triangle Area Fce621

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1. **State the problem:** We need to find the area of a triangle with all sides measuring 4 cm. 2. **Identify the type of triangle:** Since all sides are equal (4 cm), this is an equilateral triangle. 3. **Formula for the area of an equilateral triangle:** $$\text{Area} = \frac{\sqrt{3}}{4} a^2$$ where $a$ is the length of a side. 4. **Substitute the side length:** $$\text{Area} = \frac{\sqrt{3}}{4} \times 4^2$$ 5. **Calculate the square of the side:** $$4^2 = 16$$ 6. **Calculate the area:** $$\text{Area} = \frac{\sqrt{3}}{4} \times 16 = 4\sqrt{3}$$ 7. **Final answer:** The area of the equilateral triangle is $$4\sqrt{3} \text{ cm}^2$$