Question

If the diagonal of a square is 12√2 cm, then the side of the square is __________.

A) 24 cm B) 12 cm C) 48 cm D) 24√2​

Answer 1

Option - C - 12cm is the answer.

Let,

side of the square be 'a'.

Then diagonal of square of =

$\sqrt{2} a$

given, diagonol of square = 12root2.

$\sqrt{2} a = 12 \sqrt{2}$

》 a = 12cm.

Therefore, side of square = 12cm.

Answer 2

Answer: diagonal of a square is the hypotenuse of triangles in it

therefore by Pythagoras theorem we can apply

AB² + BC² = AC²

as the given figure is a square

AB² = BC²

By this we can write

AB² + AB² = AC²

2AB² = AC²

2AB² = (12√2)²

2AB² = 144 X 2

AB² = 144

AB = √144

AB = 12

therefore,

B) 12 cm