Question 421214
 
Solve:The ladder with the wall and floor define a right triangle,We apply the Pythagorean theorem:

     {{{ x^2= 12^2-10^2}}} (Where x is the distance of ladder from the wall)
     
     {{{ x^2=144-100}}}

     {{{ x^2=44}}}
    
      {{{x=sqrt(44)}}}

 Answer: We must place the ladder {{{ sqrt(44)}}m.