Question

The diagonal of a square is 12 cm what is the length (in cm) of its side?

A) 6√2 B) 12√2 C) 6 D) 9

Answer 1

Answer:

$2\sqrt{3}$cm

Step-by-step explanation:

In a square, the diagonal divides it into 2 right triangles.

take the side as x.

so by Pythagoras theorem,

2$x^{2}$=

$2x^{2}$=$12^{2}$

144=$x^{2}$+

144=$2x^{2}$

x=$\sqrt{ \frac{144}{2}$

x=$\sqrt{12}$

x=$\sqrt{2*3*2}$

x=$2\sqrt{3}$cm

please correct if I am wrong

and please check your question again