Area of Equilateral Triangle

Question

Hi ado you solve triangles

Answer 1

1. area of an equilateral triangle= sqrt(3)*side/4
2. since it is an equilateral triangle the three angles of the triangle are each 60 degress.
3. Drawing a vertical line from the base up to the vertices (represented by height) creates a 30-60-90 triangle.
4. Using the ratios of this triangle x; x*sqrt(3); 2x the value of x comes out to be 22/sqrt(3) by setting x*sqrt(3)=22
5. However, x is half the length of the side of the equilateral triangle so the length is 44/sqrt(3)
6. Area= sqrt(3)*44/(sqrt(3)*4)= 44/4= 11
7. Area=11 units squared