SOLUTION: If the perimeter of a equilateral triangle is 90 then, find it area.

Algebra ->  Triangles -> SOLUTION: If the perimeter of a equilateral triangle is 90 then, find it area.      Log On


   



Question 1092893: If the perimeter of a equilateral triangle is 90 then, find it area.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The area=1/2 bh
the base is 30
the height is the long leg of a 30-60-90 right triangle where the long leg is the altitude, which is half the side * sqrt(3)
The long leg is 15 sqrt(3)
The area is (1/2)*30*15 sqrt(3)=225 sqrt(3)
it is (sqrt(3)/4)*s^2 * sqrt *(3); or 389.71