Find the diagonal of a square whose sides are of the given measure.

given = 7 square root of 3

The answer is:  " 7√6 units " ; or, write as:  " 17.146 units " .

In this case, a square, the two sides of the square (forming a right triangle) are equal), and the "diagonal" is the hypotenuse of the right triangle.

In these cases, the measurements of the angles of the right triangle are "45, 45, 90" ; and the measurements of the sides are:  "a, a, a√2" ; in which "a√2" is the hypotenuse.

We are given:  "a = side length of the square = 7√3" ;  so, the sides are:
  a, a, a√2 ;  or, "7√3, 7√3, {7√3√2} ;  We are asked to find the diagonal, or hypotenuse;  which is:  "{7√3√2}" ; 

          which is: " 7√6 units "; or, write as:  " 17.146 units " .