Question 238446
    the length of the diagonal of a square is 80 inches. find the exact dimensions of the square?
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Let x = length of one side
then applying Pythagorean theorem:
{{{x^2 + x^2 = 80^2}}}
{{{2x^2 = 6400 }}}
{{{x^2 = 3200 }}}
{{{x = sqrt(3200) }}}
{{{x = sqrt(10*10*4*4*2) }}}
{{{x = (10*4)sqrt(2) }}}
{{{x = 40sqrt(2) }}} 
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Answer: dimension of square:
{{{40sqrt(2)}}} inches by {{{40sqrt(2)}}} inches