Question

the correct alternative answer for the following que
1) If the diagonal of a square is 12/

2 cm, than the perimeter of square is.​

Answer 1

Step-by-step explanation:

1) Diagonal of a square = 12/2 = 6cm

Diagonal divides the square into two congruent triangles. Diagonal is also a hypotenuse of any of the two triangles.

We know that sides of a square is same.

Therefore,

$x^{2} + x^{2} = 6^{2}$              (Pythagoras theorem $height^{2} + base^{2} = hypotenuse^{2}$)

=2$x^{2}$ = $6^{2}$

=2$x^{2}$ = 36

=$x^{2}$ = 36/2 = 18

=$x^$ = $\sqrt{18}$ = $\sqrt{2*3*3}$ = $3\sqrt{2}$cm

Perimeter of the square = 4*3$\sqrt{2}$ = 12$\sqrt{2}$ cm(Ans)

Here is your answer. Hope it helps!