Question

If diagonal of square is 13 cm then find its side

Answer 1

Given:

Diagonal of Square = 13 cm

For a square , each of whose side is 'a' .

Diagonal of Square = √2 a

13 = √ 2 a

a= 13 /√2

a= (13× √2/ √2 × √2)

[ By rationalising the denominator]

a= 13√2 /2

a= 6.5√2


Hence, the side of a square is 65√2 cm

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Answer 2

Answer:

=> The side of a square is $6.5\sqrt{2} cm$.

Step-by-step explanation:

Given that:-

The diagonal of a square is $13$cm,

To find:- The side of a square,

Assume 'a' be the sides square,

As we have,

Diagonal = 13cm

Therefore,

$=>\sqrt{2}a=13$

Shift $\sqrt{2}$ on the other side and divide 13 by

$=> a = \frac{13}{\sqrt{2} }$

By further simplifying it we get,

$=> a=\frac{13\sqrt{2} }{2}$

$=> a=6.5\sqrt{2}cm$

Hence, the sides of a square is $6.5\sqrt{2} cm$.