document.write( "Question 298173: the base of a triangle is one less than five times the height of the triangle. the area of the triangle is 21 cm^(2). find the height and the length of the base of the triangle. (note: area of traingle equals one-half length of base times height.)\r
\n" ); document.write( "\n" ); document.write( "B=5h-1
\n" ); document.write( "A=21cm^2
\n" ); document.write( "A=1/2(b * h)
\n" ); document.write( "

Algebra.Com's Answer #214565 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
the base of a triangle is one less than five times the height of the triangle. the area of the triangle is 21 cm^(2). find the height and the length of the base of the triangle. (note: area of traingle equals one-half length of base times height.)
\n" ); document.write( ".
\n" ); document.write( "Let h = height of triangle
\n" ); document.write( "then
\n" ); document.write( "5h-1 = base
\n" ); document.write( ".
\n" ); document.write( "(1/2)(5h-1)h = 21
\n" ); document.write( "(5h-1)h = 42
\n" ); document.write( "5h^2-h = 42
\n" ); document.write( "5h^2-h-42 = 0
\n" ); document.write( "5h^2-15h+14h-42 = 0
\n" ); document.write( "(5h^2-15h)+(14h-42) = 0
\n" ); document.write( "5h(h-3)+14(h-3) = 0
\n" ); document.write( "(h-3)(5h+14) = 0
\n" ); document.write( "h = 3 cm (height)
\n" ); document.write( ".
\n" ); document.write( "base:
\n" ); document.write( "5h-1 = 5(3)-1 = 15-1 = 14 cm\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );