document.write( "Question 848076: The area of a triangle is 95 square feet.If the height is 5 more than the base, find the length of the height and base of the triangle. \n" ); document.write( "
Algebra.Com's Answer #510861 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The area of a triangle is 95 square feet.If the height is 5 more than the base, find the length of the height and base of the triangle. \n" ); document.write( "------- \n" ); document.write( "Let base = x \n" ); document.write( "Then height = x+5 \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "x(x+5) = 95 \n" ); document.write( "----- \n" ); document.write( "x^2 + 5x - 95 = 0 \n" ); document.write( "----- \n" ); document.write( "x = [-5 +- sqrt(25-4*-95)]/2 \n" ); document.write( "----- \n" ); document.write( "x = [-5 +- sqrt(405)]/2 \n" ); document.write( "----- \n" ); document.write( "x = [-5 +- 9sqrt(5)]/2 \n" ); document.write( "----- \n" ); document.write( "Positive solution: \n" ); document.write( "x = (-5+9sqrt(5))/2 = 7.56 \n" ); document.write( "x+5 = 12.58 \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================== \n" ); document.write( " |