document.write( "Question 969383: One side of triangle is half the longest side. The third side is 9 feet less than the longest side. The perimeter is 51. Find all three sides. \n" ); document.write( "

Algebra.Com's Answer #592278 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "One side of triangle is half the longest side. The third side is 9 feet less than the longest side. The perimeter is 51. Find all three sides.
\n" ); document.write( "

Let the 1st side be F
\n" );
document.write( "Then longest side = 2F, and 3rd side = 2F - 9
\n" );
document.write( "We then get: F + 2F + 2F - 9 = 51
\n" );
document.write( "5F - 9 = 51
\n" );
document.write( "5F = 51 + 9
\n" );
document.write( "5F = 60
\n" );
document.write( "F, or 1st side = , or  ft
\n" );
document.write( "Longest side: 2(12), or  ft
\n" );
document.write( "3rd side = 2(12) - 9, or 24 - 9, or  ft \n" );
document.write( "

\n" );