document.write( "Question 653283: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9 ft. Find the length of the ladder if the length is 3 ft more than its distance from the wall. \n" ); document.write( "
Algebra.Com's Answer #408331 by shweta(56)\"\" \"About 
You can put this solution on YOUR website!
Ladder is resting against a wall, so it is making a slope. The top of ladder touches the wall at 9ft and the base of the ladder is at a distance of ,say x ft.
\n" ); document.write( "Here we get a right -angled triangle where base is x ft, the ladder forms the hypotenuse ,H and the wall is the height of the triangle.
\n" ); document.write( "Base= x ft
\n" ); document.write( "height,h= 9ft and Hypotenuse H=x+3 ft
\n" ); document.write( "here we will apply Pythagoras theorem
\n" ); document.write( "H^2=h^2+ b^2
\n" ); document.write( "(x+3)^2 = 9^2 + x^2
\n" ); document.write( "Apply the formula(a+b)^2= a^2 +b^2 +2ab
\n" ); document.write( " x^2 +3^2 +2*x*3 =81 + x^2
\n" ); document.write( "x^2 get cancelled on both the sides
\n" ); document.write( " 9 +6x= 81
\n" ); document.write( "6x= 81-9
\n" ); document.write( "6x= 72
\n" ); document.write( "x=72/6= 12
\n" ); document.write( "Base is 12 ft
\n" ); document.write( "Lenght of the ladder= (x+3)ft= 12 +3= 15ft\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );