Question 717111
5. A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8 ft? Leave your answer in simplest radical form. 
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Let d = diagonal
then applying Pythagorean theorem we get
{{{d^2 = 8^2 + 8^2}}}
{{{d^2 = 2(8^2)}}}
{{{d = sqrt(2(8^2))}}}
{{{d = sqrt(2*8*8)}}}
{{{d = 8*sqrt(2)}}}