document.write( "Question 924872: The height of a triangle is 11 inches less than its base. The area of the triangle is 138 square inches. Find the dimensions of the triangle \n" ); document.write( "
Algebra.Com's Answer #561181 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! x = height \n" ); document.write( "y = base \n" ); document.write( "--- \n" ); document.write( "a = xy/2 \n" ); document.write( "--- \n" ); document.write( "x = y - 11 \n" ); document.write( "--- \n" ); document.write( "138 = (y - 11)b/2 \n" ); document.write( "138*2 = yy - 11y \n" ); document.write( "yy - 11y - 138*2 = 0 \n" ); document.write( "yy - 11y - 276 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=1, b=-11, and c=-276 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "1 -11 -276 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the quadratic has two real roots at: \n" ); document.write( "--- \n" ); document.write( "y = 23 \n" ); document.write( "y = -12 \n" ); document.write( "--- \n" ); document.write( "the negative root doesn't fit the problem statement, so use the positive root: \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "y = base = 23 inches \n" ); document.write( "x = height = 12 inches \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |