document.write( "Question 401151: an equilateral triangle has an area of 36 sqrt of 3 inches. what is the length of one side. \n" ); document.write( "
Algebra.Com's Answer #283924 by edjones(8007)![]() ![]() You can put this solution on YOUR website! Create the altitude by bisecting the apex angle with a line that also bisects the base creating two 30-60-90 triangles. \n" ); document.write( "30-60-90 triangles have sides with a ratio of 1, sqrt(3) and 2. \n" ); document.write( "1/2 * ab = A \n" ); document.write( "a=bsqrt(3) for one of the 30-60-90 triangles. \n" ); document.write( "1/2 * b*bsqrt(3)=18sqrt(3) \n" ); document.write( "b^2sqrt(3)=36sqrt(3) \n" ); document.write( "b^2=36 \n" ); document.write( "b=6 \n" ); document.write( "6*2=12 length of one side of the equilateral triangle. \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |