Question

Find the side of a square whose diagonal is 12√2cm.​

Answer 1

Answer

side = 12 cm

Step-by-step explanation:

In a square,

diagonal = √2 × side

12√2 = √2 × side

side = $\frac{12\sqrt{2} }{\sqrt{2} }$

side = 12 cm

Answer 2

Answer:

The aspect of the rectangular is 12 cm.

Step-by-step explanation:

From the above question,

They have asked to find the side of a square whose diagonal is 12√2cm.​

Let's count on the aspect of the rectangular to be 'a' cm.

We recognize that the diagonal of a rectangular varieties a right-angled triangle with its sides.

Therefore, in accordance to the Pythagorean theorem,

When you have a square, the diagonal of the rectangular types a right-angled triangle with its sides. The aspects of the rectangular are equal in length, so we can anticipate the size of one aspect to be 'a' cm.

Then, in accordance to the Pythagorean theorem, the rectangular of the size of the diagonal of the rectangular is equal to the sum of the squares of the size of its sides.

$(diagonal)^2 = (side)^2 + (side)^2$

(12√2)$.^2$ = $a^2$ + $a^2$

288 = 2$a^2$

$a^2$ = 144

a = √144

a = 12

Therefore, the aspect of the rectangular is 12 cm.

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