Use Pythagoras on the triangle formed by two adjacent sides and the diagonal between their other ends:
diagonal = √(122 + 122)
= 12 x √2
~= 16.97 units
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a≈2.83cm The sides are the square root of 8 cm, approximately 2.8284 cm
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A diagonal bisecting a square creates two identical right triangles. The diagonal is the hypotenuse of a right triangles, so its length is the square root of the sums of the squares on the opposite two sides.
So the diagonal of the square will be 10m Use Pythagoras' theorem to find the length x of the square: x2+x2 = 100 2x2 = 100 Divide both sides by 2: x2 = 50 Square root both sides: x = 7.071067812 Therefore: length of one side = 7.071067812 meters
If you are familiar with Pythagoras's theorem you will know that it is 5x5 + 5x5 => 25 + 25=50 find the square root of fifty and you will have your answer