SOLUTION: How do You find the area of an equilateral triangle with a radius of 2 radical 3? All I know is that the area formula is s^2 radical 3/ 4

Algebra ->  Surface-area -> SOLUTION: How do You find the area of an equilateral triangle with a radius of 2 radical 3? All I know is that the area formula is s^2 radical 3/ 4      Log On


   



Question 252470: How do You find the area of an equilateral triangle with a radius of 2 radical 3? All I know is that the area formula is s^2 radical 3/ 4
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of radius I think you mean altitude of the triangle is 2sqrt(3).
If we use this assumption, your equilateral triangle is cut by this altitude into two 30-60-90 triangles.
The side opposite 60 degrees is 2sqrt(3).
The side opposite the 30 degrees will be 2.
The hypotenuse (side of the equilateral triangle) will be 4.
There are special formulas for the 30-60-90.
Now, we can find the area using the formula you stated in the question:
A = s%5E2%2Asqrt%283%29+%2F+4
A = 4%5E2%2Asqrt%283%29%2F4
A = 4%2Asqrt%283%29