document.write( "Question 817863: The base of the triangle exceeds the height by 8 meters. If the area is 42 meters, find the length of the base and the height of the triangle. \n" ); document.write( "
Algebra.Com's Answer #492237 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! b = h + 8 \n" ); document.write( "--- \n" ); document.write( "a = (1/2)bh \n" ); document.write( "--- \n" ); document.write( "a = (1/2)bh \n" ); document.write( "20 = (1/2)(h + 8)h \n" ); document.write( "20 = (1/2)(hh + 8h) \n" ); document.write( "(1/2)hh + 4h - 20 = 0 \n" ); document.write( "(1/2)h^2 + 4h - 20 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=1/2, b=4, and c=-20 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, plug this: \n" ); document.write( "0.5 4 -20 \n" ); document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the roots of the quadratic are: \n" ); document.write( "h = 3.48331477 \n" ); document.write( "h = -11.4833148 \n" ); document.write( "--- \n" ); document.write( "the negative root doesn't make sense for a length, so use the positive root: \n" ); document.write( "--- \n" ); document.write( "Answer: \n" ); document.write( "b = 11.483 m \n" ); document.write( "h = 3.483 m \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( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |