Question 936628
The hypotenuse of an isosceles right triangle measures 7 centimeter
In isosceles right triangle , other 2 sides are equal
    let x be the length of each side
   as per Pythagoras Theorem
    {{{ x^2+x^2=7^2}}}
    {{{2x^2=49}}}
   {{{ 2x^2/2 =49/2}}}
   {{{ x^2 =49/2}}}
      {{{ x= sqrt(49/2)}}}
          {{{ x=  7/sqrt(2)}}}
             we have to rationalize the above term
 multiply and divide with {{{ sqrt(2)}}}
           {{{ x= (7/sqrt(2))(sqrt(2)/sqrt(2))}}}
   {{{ x= 7sqrt(2)/2}}}
Result : length of each side  ={{{ 7sqrt(2)/2}}}