Question

Find the side and perimeter of a square whose diagonal is 13root 2cm

Answer 1

Answer:

Step-by-step explanation:

we can use pythagorean theorem ,    diagonal is hypotenusa and sides are katets. let the aide be x (since it is a square the sides are the same) so $x^{2} +x^{2} =(13\sqrt{2} )^{2} ,       2x^{2} =338, x=13(the side)$

perimeter= 13*4=52

Answer 2

The side of a square is 13 cm.

The perimeter of a square is 52 cm.

Step-by-step explanation:

Given : A square whose diagonal is $13\sqrt{2}$ cm.

To find : The side and perimeter of a square ?

Solution :

The diagonal of a square is given by,

$d=\sqrt2 s$

Here, $d=13\sqrt{2}\ cm$

Substitute the value,

$13\sqrt{2}=\sqrt2 s$

$s=\frac{13\sqrt{2}}{\sqrt2}$

$s=13\ cm$

The side of a square is 13 cm.

The perimeter of the square is given by,

$P=4s$

$P=4\times 13$

$P=52\ cm$

The perimeter of a square is 52 cm.

#Learn more

Find the side and perimeter of a square whose diagonal is 10 cm

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