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The area of a square is 289 cm2cm^2cm2​. Find the length of its diagonal.
Question

The area of a square is 289 cm2cm^2​. Find the length of its diagonal.

A.

17√2 cm

B.

19√2 cm

C.

15√2 cm

D.

13√2 cm

Correct option is A

Given:

The area of the square = 289 cm2cm^2​​

Formula Used:

The area of the square = a2a^2​​

Diagonal of the square = √2 × a

Where,

a = side of the square

Calculation:

The area of the square = 289 cm2cm^2​​

=> a2= 289

=> a = 17 cm

Diagonal of the square = √2 × a

=> √2 × 17

=> 17√2 cm

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