document.write( "Question 809400: Triangle PQR is congruent to triangle STV
\n" ); document.write( "__
\n" ); document.write( "PQ= x^2
\n" ); document.write( "__
\n" ); document.write( "SV= 6
\n" ); document.write( "__
\n" ); document.write( "ST= x+6
\n" ); document.write( "__
\n" ); document.write( "TV= 3-x \r
\n" ); document.write( "\n" ); document.write( "Find the value of x and the perimeter of Triangle PQR
\n" ); document.write( "

Algebra.Com's Answer #487597 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
Draw a diagram of the 2 triangles which are congruent (equal) and put the numbers on the appropriate lines.
\n" ); document.write( "Note that PQ=ST
\n" ); document.write( "x^2=x+6
\n" ); document.write( "x^2-x-6=0
\n" ); document.write( "(x-3)(x+2)=0
\n" ); document.write( ".
\n" ); document.write( "x=3
\n" ); document.write( "x+6=9
\n" ); document.write( "3-x=0 NO!
\n" ); document.write( ".
\n" ); document.write( "x=-2
\n" ); document.write( "x+6=4
\n" ); document.write( "3+2=5
\n" ); document.write( "6
\n" ); document.write( ".
\n" ); document.write( "P=4+5+6=15
\n" ); document.write( ".
\n" ); document.write( "Ed
\n" ); document.write( "
\n" );