document.write( "Question 411655: Can someone please show me how to solve\r
\n" );
document.write( "\n" );
document.write( "A poster is in the shape of a right triangle with a base that is three feet longer than the height. If the area of the triangle is 90 square feet, find the height.\r
\n" );
document.write( "\n" );
document.write( "a. 9'
\n" );
document.write( "b. 12'
\n" );
document.write( "c. 15'
\n" );
document.write( "d. 18'
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #289305 by stanbon(75887) ![]() You can put this solution on YOUR website! A poster is in the shape of a right triangle with a base that is three feet longer than the height. \n" ); document.write( "Let the height be \"x\". \n" ); document.write( "Then the base is \"x+3\". \n" ); document.write( "---- \n" ); document.write( "Area = (1/2) base * height \n" ); document.write( "90 = (1/2)(x+3)x \n" ); document.write( "180 = x(x+3) \n" ); document.write( "x^2+3x-180 = 0 \n" ); document.write( "(x-12)(x+15) = 0 \n" ); document.write( "Positive solution: \n" ); document.write( "x = 12 feet (height) \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "If the area of the triangle is 90 square feet, find the height. \n" ); document.write( "a. 9' \n" ); document.write( "b. 12' \n" ); document.write( "c. 15' \n" ); document.write( "d. 18'\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |