document.write( "Question 220233: Find the altitude of an equilateral triangle that has side lengths of 4y. Express your answer in simplest radical form.
\n" ); document.write( "I am a homeschooling mom and don't remeber how to do this. Our book doesnt help either. \n" ); document.write( "

Algebra.Com's Answer #165378 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The interior angles of an equilateral triangle
\n" ); document.write( "are 60-60-60, which adds up to
\n" ); document.write( "180 degrees, as they should.
\n" ); document.write( "The altitude divides the triangle into two
\n" ); document.write( "30-60-90 triangles, with the altitude being
\n" ); document.write( "opposite the 60 degree angle.
\n" ); document.write( "Call the altitude $\"h\"$
\n" ); document.write( "In this right triangle, $\"sin%2860%29+=+h%2F%284y%29\"$ ,
\n" ); document.write( "and $\"sin%2860%29+=+sqrt%283%29%2F2\"$
\n" ); document.write( " $\"h%2F%284y%29+=+sqrt%283%29%2F2\"$
\n" ); document.write( "Solve for $\"h\"$
\n" ); document.write( " $\"h+=+4y%2Asqrt%283%29%2F2\"$
\n" ); document.write( " $\"h+=+2y%2Asqrt%283%29\"$ \n" ); document.write( "

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