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
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document.write( "B=5h-1
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document.write( "A=21cm^2
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document.write( "A=1/2(b * h) \n" );
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Algebra.Com's Answer #214565 by nerdybill(7384)![]() ![]() 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( " |