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The correct alternative answer for the following que1) If the diagonal of a square is 12/2 cm, than the perimeter of square is.​

Answer»

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})

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

=2x^{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!



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