# How do you work out the area of an equilateral triangle with sides of length 6cm? How do you work out the area of an equilateral triangle with sides of length 6cm?

We can see that if we split an equilateral triangle in half, we are left with two congruent equilateral triangles. Thus, one of the legs of the triangle is

If we want to determine the area of the entire triangle, we know that

Thus, since

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To calculate the area of an equilateral triangle with sides of length 6 cm, you can use the formula:

[ \text{Area} = \frac{\sqrt{3}}{4} \times \text{side length}^2 ]

Substitute the side length (6) into the formula:

[ \text{Area} = \frac{\sqrt{3}}{4} \times 6^2 ]

[ \text{Area} = \frac{\sqrt{3}}{4} \times 36 ]

[ \text{Area} = \frac{\sqrt{3} \times 36}{4} ]

[ \text{Area} = \frac{\sqrt{3} \times 36}{4} ]

[ \text{Area} = \frac{\sqrt{3} \times 36}{4} ]

[ \text{Area} = \frac{\sqrt{3} \times 36}{4} ]

[ \text{Area} = \frac{36\sqrt{3}}{4} ]

[ \text{Area} = 9\sqrt{3} , \text{cm}^2 ]

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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