document.write( "Question 774197: An equilateral triangle has an altitude of 6 cm\r
\n" ); document.write( "\n" ); document.write( "1) Find the length of one side
\n" ); document.write( "2) Find the area\r
\n" ); document.write( "\n" ); document.write( "My instructor said to use special triangle proportions to solve it ? Help
\n" ); document.write( "

Algebra.Com's Answer #472097 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
In an equilateral triangle the altitude h = \"%28sqrt%283%29a%29%2F2\" where a is the length of the side\r
\n" ); document.write( "\n" ); document.write( "6= \"sqrt%283%29%2Aa%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%283%29a=+2%2A6\"\r
\n" ); document.write( "\n" ); document.write( "a= \"%282%2A6%29%2Fsqrt%283%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a= \"%282%2Asqrt%283%29%2Asqrt%283%29%2A3%29%2Fsqrt%283%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a=6sqrt%283%29\"\r
\n" ); document.write( "\n" ); document.write( "Area of triangle = 1/2 * base * height\r
\n" ); document.write( "\n" ); document.write( "base = a=\"6sqrt%283%29\"\r
\n" ); document.write( "\n" ); document.write( "h=6\r
\n" ); document.write( "\n" ); document.write( "area = 1/2 * 6*6\"sqrt%283%29\"\r
\n" ); document.write( "\n" ); document.write( "=18\"sqrt%283%29\"
\n" ); document.write( "
\n" );