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The area of a square is 144 sq cm. Find the length of its diagonal


Question

The area of a square is 144 sq cm. Find the length of its diagonal

Options

A) 11\(\sqrt{3}\)cm

B) 12cm

C) 12\(\sqrt{2}\)cm

D) 13cm

The correct answer is C.

Explanation:

BD = \(\sqrt{x^2 + x^2}\)
= \(\sqrt{12^2 + 12^2}\)
= \(\sqrt{144 + 144}\)
= 2(144)
= 12\(\sqrt{2}\)cm

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