document.write( "Question 819772: the hypotenuse of a right angle triangle is 18 cm. if one of tge other sides is 4 cm longer than the third side. find the lengths of the other two sides \n" ); document.write( "
Algebra.Com's Answer #493218 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! h = sqrt( aa + bb ) \n" ); document.write( "a = b + 4 \n" ); document.write( "18 = sqrt( (b + 4)(b + 4) + bb ) \n" ); document.write( "324 = (b + 4)(b + 4) + bb \n" ); document.write( "324 = bb + 8b + 16 + bb \n" ); document.write( "2bb + 8b - 308 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=2, b=8, and c=-308 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, plug this: \n" ); document.write( "2 8 -308 \n" ); document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the two real roots (i.e. the two x-intercepts), of the quadratic are: \n" ); document.write( "b = 10.5698051 \n" ); document.write( "b = -14.5698051 \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( "324 = aa + 10.5698051^2 \n" ); document.write( "a = sqrt( 324 - 10.5698051^2 ) \n" ); document.write( "a = sqrt( 212.27922 ) \n" ); document.write( "a = 14.569805 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "a = 14.569805 cm \n" ); document.write( "b = 10.5698051 cm \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( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |