Question 554914


the area of a square is 81 square centimeters, find the length of the diagonal.


The diagonal of the square will form two 45-45 right triangles


In any 45-45 right triangle (isosceles right triangle), the hypotenuse equals one side, times square root of 2 (radical 2). Since one side = 9, then the length of the hypotenuse or the length of the diagonal can be written as:


{{{highlight_green(9sqrt(2))}}} 


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