Question

6. Find the perimeter of square if its diagonal is 10V2cm.​

Answer 1

Answer:

40cm

Step-by-step explanation:

Diagonal = 10√2 cm.

Let the sides be x

By Pythagoras theorem,

$= > {x}^{2} + {x}^{2} = {(10 \sqrt{2}) }^{2}$

$= > {2x}^{2} = 200$

$= > {x}^{2} = \frac{200}{2}$

$= > {x}^{2} = 100$

$= > {x} = 10$

Each side of the square is 10cm

Then perimeter of the square = 4 × 10 = 40cm

Answer 2

Answer:

40cm.

Step-by-step explanation:

If the diagonal is 10√2 then one side length is 10√2/

√2=10...

then the perimeter of the square=10x4=40cm.