Question

3
The length of diagonal of a square is
13 root 2 cm find the length of its each
side​

Answer 1

Hello mate!!!

Given:

Diagonal of square = 13√2 cm

To find:

Side of square

Concept used:

• Pythagoras Theorem
• Each diagonal of a square divides the square in two isosceles right angles triangles.

Solution:

Let the side of square be x

We know, diagonals of a square divides the square in two isosceles right angles triangles.

Considering any one right angled triangle and then using Pythagoras Theorem, we get:

${x}^{2} + {x}^{2} = {(13 \sqrt{2} )}^{2}$

$2 {x}^{2} = 338$

${x}^{2} = \frac{338}{2}$

${x}^{2} = 169$

$x = \sqrt{169}$

$x = 13$

$and \: that \: is \: the \: correct \: answer$

Hope it helps,

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