SOLUTION: the area of a square is 81 square centimeters. find the length of a side. find the length of the diagonal
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Question 961931: the area of a square is 81 square centimeters. find the length of a side. find the length of the diagonal
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
The area of the square equals side squared, s^2. Therefore, a side equals to the square root of the area:
That's the length of each side, 9.
If we trace a diagonal across the square, we are in fact dividing the square into 2 triangles, and the diagonal line is the hypotenuse.
Per Pythagoras:
The length of the hypotenuse equals the square root of the sum of the squares of the sides:
12.73 is the length of the diagonal
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