Question

if diagonal of a sqaure is 13 find its side​

Answer 1

Answer: Each side of the square is 6.5 $\sqrt{2}$cm

Step-by-step explanation:

Given,

The diagonal of thee square is given as 13cm.

Let a be the side of the square.

Diagonal=13

$\sqrt{2a} =13$

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

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

a=6.5$\sqrt{2}$cm

Therefore, We get the the side of the square is 6.5 $\sqrt{2}$cm if diagonal of a square is 13

Answer 2

Step-by-step explanation:

By the pythagorean theorem

Where a and b are the right containing sides

Since a and b are equal,we consider them as a

c is the Hypotenuse of the right-triangle

The diagonal is the Hypotenuse c

⇒ a² + a² = 13²

⇒ 2a² = 169

⇒ a² = 169/2

⇒ a² = 84.5

⇒ a = √84.5

⇒ a = 9.19