document.write( "Question 448408: how do you find the area of an equilateral triangle with side length 2 radical 3 \n" ); document.write( "
Algebra.Com's Answer #308535 by edjones(8007)![]() ![]() You can put this solution on YOUR website! If you construct an altitude of the triangle it divides the triangle into two equal 30-60-90 triangles. 30-60-90 triangles have side in this proportion 1:sqrt(3):2 \n" ); document.write( "Since the hypotenuse is 2sqrt(3) then the base is sqrt(3) and the altitude is sqrt(3)*sqrt(3)=3 of one of the 30-60-90 triangles. \n" ); document.write( ".5ab=A(triangle) \n" ); document.write( ".5*2sqrt(3)*3=3sqrt(3) Area of the equilateral triangle \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |