SOLUTION: How would I find the sides of an equilateral triangle by only knowing the area. The area of this equilateral triangle is 546 cm squared but it doesn't give me anything about the

Algebra ->  Triangles -> SOLUTION: How would I find the sides of an equilateral triangle by only knowing the area. The area of this equilateral triangle is 546 cm squared but it doesn't give me anything about the       Log On


   

Question 600363: How would I find the sides of an equilateral triangle by only knowing the area.
The area of this equilateral triangle is 546 cm squared but it doesn't give me anything about the sides only the area... and I'm completely lost...
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the area of an equilateral triangle is


A+=+%28s%5E2%2Asqrt%283%29%29%2F4


where 's' is the length of the side of the equilateral triangle.


You can solve for 's' to get


A+=+%28s%5E2%2Asqrt%283%29%29%2F4


4A+=+s%5E2%2Asqrt%283%29


4A%2Fsqrt%283%29+=+s%5E2


%284A%2Asqrt%283%29%29%2F3+=+s%5E2


s%5E2+=+%284A%2Asqrt%283%29%29%2F3


s+=+sqrt%28%284A%2Asqrt%283%29%29%2F3%29


Let me know if this helps. Thanks.