document.write( "Question 924424: if the vertex of an isosceles triangle is 80 degrees and the side opposite the vertex measures 12 cm, determine the perimeter of the triangle.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #560815 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Make two right triangles from the isosceles triangle by bisecting the vertex angle. The angle is then 40 degrees and the opposite side is 6 cm.
\n" ); document.write( " $\"sin%2840%29=OPP%2FHYP=6%2FHYP\"$
\n" ); document.write( " $\"HYP=6%2Fsin%2840%29=9.33\"$
\n" ); document.write( "The perimeter is then,
\n" ); document.write( " $\"P=HYP%2BHYP%2B12\"$
\n" ); document.write( " $\"P=9.33%282%29%2B12\"$
\n" ); document.write( " $\"P=18.66%2B12\"$
\n" ); document.write( " $\"P=30.66\"$ $\"cm\"$ \n" ); document.write( "

\n" );