Math, asked by Aarya2884, 1 month ago

If diagonal of a square is 12cm then find sides of the square​

Answers

Answered by twinkle385
3

Step-by-step explanation:

Diagonal = 12 cm

diagonal =  \sqrt{2} x \\ .12 =  \sqrt{2} x \\ x =  \frac{12}{ \sqrt{2} }  \\ x =  \frac{ \sqrt{2} \times  \sqrt{72}  }{ \sqrt{2} }  \\ x =  \sqrt{72} .

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Answered by sunitagupta95
2

Answer:

diagonal = 12 cm

Step-by-step explanation:

let the sides of the square be x

and square ABCD .

Diagonal AC.

AC²=AB²+BC² ---------------(by pythagoras theorem)

(12)²=x² + x²

144 = 2x²

144/2 = x²

72 = x²

root72 = x

6root2 = x

:. x = 6root2

:. sides of the square is 6root2

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