Question 13231
In triangle ABC, the length of side BC is 2 inches and the length of side AC is 10 inches. What is one possible length of side AB, in inches?


given:  {{{length BC=2  .......x}}}
        {{{length AC=10 ........r}}}
        {{{length AB=  .........y}}}
      
using pythagoras theorem
      
    {{{r^2=x^2+y^2}}}
    {{{10^2=2^2+y^2}}}

{{{y^2=100-4}}}
   =98
 y ={{{sqrt(98)}}}

 y ={{{sqrt(49*2)}}}
 y ={{{7sqrt(2)}}}
   ={{{AB}}}