document.write( "Question 250821: please help me solve this:\r
\n" ); document.write( "\n" ); document.write( "An isosceles triangle has a perimeter of 82 cm. The lengths of the legs of the triangle are represented by (3x+2) and (5x-14). Find the length of the base of the triangle.
\n" ); document.write( "

Algebra.Com's Answer #184452 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
In an isosceles triangle, two legs are equal. In this case, we have
\n" ); document.write( "(3x+2) = (5x-14). Solve for x.
\n" ); document.write( "16 = 2x
\n" ); document.write( "8 = x.
\n" ); document.write( "Substitute back into the equation to get the legs = 26.
\n" ); document.write( "The perimeter = 84 = a + b + c.
\n" ); document.write( "84 = a + 26 + 26
\n" ); document.write( "84 = a + 52
\n" ); document.write( "32 = a.
\n" ); document.write( "The base is 32 cm
\n" ); document.write( "
\n" );