SOLUTION: My question is "if the area of an equilateral triangle is 100in squared then what would the length of one of the sides be?" I have tried many different way to solve it and I can't

Algebra ->  Triangles -> SOLUTION: My question is "if the area of an equilateral triangle is 100in squared then what would the length of one of the sides be?" I have tried many different way to solve it and I can't       Log On


   

Question 133998This question is from textbook
: My question is "if the area of an equilateral triangle is 100in squared then what would the length of one of the sides be?" I have tried many different way to solve it and I can't get the answer right no matter how I try to solve it. This question is from textbook

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the altitude of an equilateral triangle forms a 30-60-90 right triangle with one of the sides and half the base

if x equals a side, the altitude is equal to (x/2)(sqrt(3))

so the area is (1/2)(x)(x/2)(sqrt(3))

(x^2/4)(sqrt(3))=100 __ x^2=400/(sqrt(3)) __ x=sqrt(400/(sqrt(3)))