SOLUTION: if each side of an equilateral triangle is increased by 2 cm, its area increases by 3root3cn square. find the lenth of each side and area of the triangle.

Algebra ->  Volume -> SOLUTION: if each side of an equilateral triangle is increased by 2 cm, its area increases by 3root3cn square. find the lenth of each side and area of the triangle.       Log On


   

Question 742622: if each side of an equilateral triangle is increased by 2 cm, its area increases by 3root3cn square. find the lenth of each side and area of the triangle.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Area+of+equilateral+triangle+=+%28sqrt%283%29%2F4%29%2As%5E2


%28sqrt%283%29%2F4%29%2A%28s%2B2%29%5E2-+%28sqrt%283%29%2F4%29%2As%5E2=3sqrt%283%29


%28sqrt%283%29%2F4%29%28%28s%2B2%29%5E2-s%5E2%29=3sqrt%283%29

%28sqrt%283%29%2F4%29%28s%5E2%2B4s%2B4-s%5E2%29=3sqrt%283%29

4s%2B4=12
4s=8
s=2 the side of the triangle