document.write( "Question 376207: What is the ratio of the altitude to the side in an equilateral triangle?\r
\n" ); document.write( "\n" ); document.write( "A ) 4 : 3 B ) 3 : 4 C ) 3 : 2 D ) 2 : 3
\n" ); document.write( "

Algebra.Com's Answer #267686 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
If you add an altitude to an equilateral triangle, you have a right triangle with hypotenuse \"s\", leg \"s%2F2\", and leg of altitude \"h\".
\n" ); document.write( "Use the Pythagorean theorem,
\n" ); document.write( "\"h%5E2%2B%28s%2F2%29%5E2=s%5E2\"
\n" ); document.write( "\"h%5E2%2Bs%5E2%2F4=s%5E2\"
\n" ); document.write( "\"h%5E2=%283%2F4%29s%5E2\"
\n" ); document.write( "\"h=%28sqrt%283%29%2F2%29s\"
\n" ); document.write( "So then the ratio of the altitude h to side s is
\n" ); document.write( "\"highlight%28h%2Fs=sqrt%283%29%2F2%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );