document.write( "Question 963999: What is the area of the triangle that has 2 sides of 10cm and and angle of 30 degrees ?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #588943 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the unknown side be X, the height be H.
\n" ); document.write( "If 30 is the vertex angle,
\n" ); document.write( " $\"sin%2830%2F2%29=%28X%2F2%29%2F10\"$
\n" ); document.write( " $\"X=20sin%2815%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"cos%2830%2F2%29=H%2F10\"$
\n" ); document.write( " $\"H=10cos%2815%29\"$
\n" ); document.write( "So then the area would be,
\n" ); document.write( " $\"A=%281%2F2%29XH\"$
\n" ); document.write( " $\"A=10sin%2815%29%2A10cos%2815%29\"$
\n" ); document.write( " $\"A=25\"$ $\"cm%5E2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "If 30 is not the vertex angle,
\n" ); document.write( " $\"30%2B30%2BV=180\"$
\n" ); document.write( " $\"V=120\"$
\n" ); document.write( " $\"A=%281%2F2%29XH\"$
\n" ); document.write( " $\"A=10sin%2860%29%2A10cos%2860%29\"$
\n" ); document.write( " $\"A=25sqrt%283%29\"$ $\"cm%5E2\"$ \n" ); document.write( "

\n" );