document.write( "Question 1054152: The height of a triangle is 6 yards greater than the base. The are of the triangle is 216 square yards. Find the length of the base and the height of the triangle \n" ); document.write( "
Algebra.Com's Answer #669465 by addingup(3677)\"\" \"About 
You can put this solution on YOUR website!
Completing the squares (you don't have to worry whether the quadratic will factor or not, this ALWAYS works):
\n" ); document.write( "x*(x+6) = 216
\n" ); document.write( "x^2+6x = 216
\n" ); document.write( "take 1/2 of the factor of x and square it:
\n" ); document.write( "The factor of x is 6, 6/2 = 3 and 3^2 = 9
\n" ); document.write( "x^2+6x+9 = 216+9
\n" ); document.write( "(x+3)^2 = 225
\n" ); document.write( "x+3 = +-sqrt225 = +-15
\n" ); document.write( "x = -3-15 or x = -3+15
\n" ); document.write( "x = -18 or x = 12
\n" ); document.write( "Since we are not looking for a negative number, throw away the -18 and take the 12:
\n" ); document.write( "12*(12+6) = 12*18 = 216 this answer is correct.
\n" ); document.write( ":
\n" ); document.write( "John\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );