document.write( "Question 135631: the base of a triangle is 5cm greater than height. The area is 33cm^2. Find the height and length of the base. \n" ); document.write( "
Algebra.Com's Answer #99368 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! The area of a triangle is given by \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You are given that the base is 5 cm longer than the height, so \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can substitute this expression for b into the equation for the area:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve the equation for h giving you part of the answer, then add 5 to the solution to get b. Remember that since you will be solving a quadratic equation, you will get two roots. One of the roots in this case will be negative which makes no sense when solving for a length measurement. So exclude the negative root and the positive root will be your solution (the value for h) \n" ); document.write( " |