Question 1203272
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You can use the "well-known expression" for the side length of an equilateral triangle in terms of the length of the altitude if you have a love of formulas.<br>
For me that formula is litter for clouding the mind, since the problem is easily solved by simple analysis.<br>
The altitude of an equilateral triangle divides the triangle into two 30-60-90 right triangles, in which the altitude is the long leg and the side length of the triangle is the hypotenuse.<br>
Using the basics of the 30-60-90 right triangle, if the long leg has length {{{2*sqrt(3)}}}, then the short leg has length 2 and the hypotenuse has length 4.<br>
ANSWER: The side length is 4, so the perimeter is 12.<br>