document.write( "Question 937849: The shortest side (AB) of a roof truss in the form of a right triangle is x meters long. the side (BC) is 1 m longer than (AB) and the longest side (AC) is 29 m long. form an equation for x and solve it to determine the length of the other two sides. \n" ); document.write( "
Algebra.Com's Answer #571250 by TimothyLamb(4379) You can put this solution on YOUR website! h = sqrt( aa + bb ) \n" ); document.write( "a = x \n" ); document.write( "b = x + 1 \n" ); document.write( "h = 29 \n" ); document.write( "--- \n" ); document.write( "29 = sqrt( xx + (x + 1)^2 ) \n" ); document.write( "29^2 = sqrt( xx + (x + 1)^2 )^2 \n" ); document.write( "841 = xx + (x + 1)^2 \n" ); document.write( "841 = xx + xx + 2x + 1 \n" ); document.write( "2xx + 2x + - 840 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=2, b=2 and c=-840 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "2 2 -840 \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( "x = 20 \n" ); document.write( "x = -21 \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( "x = 20 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "a = 20 m \n" ); document.write( "b = 21 m \n" ); document.write( "h = 29 m \n" ); document.write( "--- \n" ); document.write( "Free algebra tutoring live chat: \n" ); document.write( "https://sooeet.com/chat.php?gn=algebra \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 with 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( "--- \n" ); document.write( " |