the lenght of the diagonal of a square is 6√2cm.Find the lenght of its side and hence find the area of the square
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Answer:
The length of the side of square is = 6 cm
And area of the square is = 36 cm^2
Step-by-step explanation:
The length of the diagonal of a square is = 6√2 cm
We have to find the length of it's sides
Let the length of its sides be = a cm
Then the length of the diagonal of the square is = √2 ×a cm, then,
By condition,
√2×a = 6√2
=> a = 6√2/√2 = 6 cm
So, the length of the side of square is = 6 cm
So, the area of the square is = 6×6 cm^2
= 36 cm^2
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