Question

find the length of the side of a square whose
diagonal is of length 9√2 cm​

Answer 1

Answer:

9 cm

Step-by-step explanation:

diagonal of a square can be considered a the hypotenuse of 2 triangles in it

so we take any one of the two triangles and use pythagoras theorem

let the side of square be x

By pythagoras theorem

side² + side² = Hypotenuse²

⇒ x² + x² = (9√2)²

⇒2x² =  81 ×2

⇒ x² = 81 ( reducing 2 from both sides)

⇒ x = √81

x = ±9

So the side of square = ±9

But,

Length cannot be negative so

SIDE OF SQUARE = 9 cm

Answer 2

Answer: 9cm

important from this question;-

formula-

Diagonal of square=√2 × side

I have put side= a

hope it may help you...