Question

diagonal of square is 12root2cm then find its side

Answer 1

Method of Solution:

Given : Diagonal of Square = 12√2

We know that Diagonal of Square of Side = √2a


Note :

✏ Area of Square = (Side)²

✏ Perimeter of Square = 4 × Side

✏ Diagonal of Square = √2a

Here, a represent Side of Square!


Now, Diagonal of Square = 12√2

√2a = 12 √ 2

✒ a = 12 cm

Hence, Side of Square is 12 cm.

Answer 2

Solution:-

Given:-

Diagonal =
$12 \sqrt{2}$
All the sides of Square is equal and the angles are of 90°.

Taking side as x" cm.

By pythagoras Theorem,

$= > {x}^{2} + {x}^{2} = {(12 \sqrt{2} )}^{2} \\ \\ = > 2 {x}^{2} = 144 \times 2 \\ \\ = > {x}^{2} = 144 \\ \\ = > x = \sqrt{144} \\ \\ = > x = 12$

Hence,

The sides of square is 12cm.