document.write( "Question 431377: IF THE HEIGHT OF AN EQUILATERAL TRIANGLE IS 5√3 CMS THEN THE PERIMETER OF THE TRIANGLE IS? \n" ); document.write( "
Algebra.Com's Answer #299391 by Gogonati(855)\"\" \"About 
You can put this solution on YOUR website!
Solution:Let = x cm the side of equilateral triangle, then its perimeter is 3x cm
\n" ); document.write( "As we know the height bisect the opposite side, and you can use the Pythagorean theorem to find the side:\r
\n" ); document.write( "\n" ); document.write( "\"%285sqrt%283%29%29%5E2%2B%28x%2F2%29%5E2=x%5E2\", solve this equation.\r
\n" ); document.write( "\n" ); document.write( "\"75%2Bx%5E2%2F4=x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-x%5E2%2F4=75\"\r
\n" ); document.write( "\n" ); document.write( "\"3%2Ax%5E2%2F4=75\", divide both sides by 3\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2F4=25\",Multiply both sides by 4\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=100\",\r
\n" ); document.write( "\n" ); document.write( "\"x=10\"cm\r
\n" ); document.write( "\n" ); document.write( "The perimeter of triangle is \"3%2A10\"=30cm.
\n" ); document.write( "
\n" );