Question

the length of diagonal of a square is 13√2 cm. find the length its side

Answer 1

diaogonal AC=√a²+a² from pythagoras theorem

so AC=a root2
13√2=a√2
a=13
Length of side is 13cm

Answer 2

If length of a diagonal of a square is 13√2 cm then the length of each side = 13 cm

Given :

The length of a diagonal of a square is 13√2 cm

To find :

The length of each side

Formula :

For square of side a unit the length of diagonal of the square = a√2 unit

Solution :

Step 1 of 2 :

Write down diagonal of the square

Here it is given that length of a diagonal of a square is 13√2 cm

Step 2 of 2 :

Find length of each side

Let length of each side = a cm

By the given condition

a√2 = 13√2

⇒ a = 13

The length of each side = 13 cm

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