Question

How to find sides of a sq. When diagonal is given 20cm

Answer 1

Answer:

Step-by-step explanation:

Length of a diagonal of a square=underoot2 a

20=underoot 2 a

20/underoot 2 =a

Square of a side=4a

So 4×20/underoot 2

Answer 2

Let the side of the square = a cm

diagonal = d = √2 × a

According to the problem given,

d = 20cm

Therefore ,

√2 × a = 20

a = 20 / √2 cm

Perimeter of the square = 4a

= 4 × ( 20 / √2 )

Rationalize the denominator,

= ( 4 × 20 × √2 )/( √2 × √2 )

= ( 80√2 ) / 2

= 40√2 cm ans.