Question

diagonal of a square is 6 root 2 cm find its perimeter​

Answer 1

Let the side be x

Given: AC= 6√2 cm

We know that all the angles of a square = 90°

In ∆ABC , <B is right angled

By applying Pythagoras theorem:

AC² = AB² + BC²

=> (6√2) ² = x² + x²

=> 36 × 2 = 2x²

=> 72 = 2x²

=> x² = 36

=> $\rm x = \sqrt{36}$

=> x = 6cm

Perimeter = 4 x

= 4 × 6 cm

= 24 cm

Answer 2

Step-by-step explanation:

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