# What is the area of an equilateral triangle of side length 20 cm?

Since we know the base and the height, then the area is

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The area ( A ) of an equilateral triangle with side length ( s ) can be calculated using the formula:

[ A = \frac{\sqrt{3}}{4} \times s^2 ]

Given that the side length ( s ) is 20 cm, we can substitute this value into the formula to find the area of the equilateral triangle:

[ A = \frac{\sqrt{3}}{4} \times (20)^2 ]

[ A = \frac{\sqrt{3}}{4} \times 400 ]

[ A = \frac{\sqrt{3} \times 400}{4} ]

[ A = \frac{400\sqrt{3}}{4} ]

[ A = 100\sqrt{3} ]

Therefore, the area of the equilateral triangle with side length 20 cm is ( 100\sqrt{3} ) square centimeters.

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