document.write( "Question 954279: 1. The base of a triangle is 6 cm longer than its altitude. The area of a triangles 56cm^2. Find the length of the base. \n" ); document.write( "
Algebra.Com's Answer #582800 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1. The base of a triangle is 6 cm longer than its altitude. The area of a triangles 56cm^2. Find the length of the base. \n" ); document.write( "---------------------- \n" ); document.write( "Area = (1/2)(base)(altitude) \n" ); document.write( "---------- \n" ); document.write( "56 = (1/2)(x + 6)(x) \n" ); document.write( "---- \n" ); document.write( "112 = x^2 + 6x \n" ); document.write( "--- \n" ); document.write( "x^2 + 6x - 112 = 0 \n" ); document.write( "Factor: \n" ); document.write( "(x-8)(x+ 14) = 0 \n" ); document.write( "---- \n" ); document.write( "altitude = x = 8 cm \n" ); document.write( "base = (x+6) = 14 cm \n" ); document.write( "---------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |