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Any part of the reviev
The equilateral triangle shown has a perimeter of 
12sqrt3. Drag tiles to fill in the missing lengths and area.




12
4
2

12sqrt3



4sqrt3

2sqrt3

48sqrt3
6

Any part of the reviev\newlineThe equilateral triangle shown has a perimeter of 123 12 \sqrt{3} . Drag tiles to fill in the missing lengths and area.\newline\begin{tabular}{|c|c|c|c|}\newline\hline 1212 & 44 & 22 & 123 12 \sqrt{3} \\\newline\hline 43 4 \sqrt{3} & 23 2 \sqrt{3} & 483 48 \sqrt{3} & 66 \\\newline\hline\newline\end{tabular}

Full solution

Q. Any part of the reviev\newlineThe equilateral triangle shown has a perimeter of 123 12 \sqrt{3} . Drag tiles to fill in the missing lengths and area.\newline\begin{tabular}{|c|c|c|c|}\newline\hline 1212 & 44 & 22 & 123 12 \sqrt{3} \\\newline\hline 43 4 \sqrt{3} & 23 2 \sqrt{3} & 483 48 \sqrt{3} & 66 \\\newline\hline\newline\end{tabular}
  1. Find Side Length: First, we need to find the length of one side of the equilateral triangle. Since all sides of an equilateral triangle are equal, we can divide the perimeter by 33 to find the length of one side.\newlinePerimeter of the equilateral triangle = 12312\sqrt{3}\newlineLength of one side = Perimeter ÷3\div 3
  2. Calculate Side Length: Now, let's calculate the length of one side.\newlineLength of one side = 123÷312\sqrt{3} \div 3\newlineLength of one side = 434\sqrt{3}
  3. Find Area: Next, we need to find the area of the equilateral triangle. The formula for the area of an equilateral triangle is (3/4)×side2(\sqrt{3}/4) \times \text{side}^2.Area=(3/4)×(43)2\text{Area} = (\sqrt{3}/4) \times (4\sqrt{3})^2
  4. Calculate Area: Let's calculate the area.\newlineArea = (3/4)(4343)(\sqrt{3}/4) * (4\sqrt{3} * 4\sqrt{3})\newlineArea = (3/4)(163)(\sqrt{3}/4) * (16 * 3)\newlineArea = (3/4)48(\sqrt{3}/4) * 48\newlineArea = 12312\sqrt{3}

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