Question

8) Find the perimeter of a square if its diagonal is 10 2 cm
a) 10 cm b) 40 2 cm c) 20 cm d) 40 cm​

Answer 1

Answer:

d) 40cm

Step-by-step explanation:

Diagonal=10$\sqrt{2}$ cm

$Diagonal = \sqrt{2} *side$

$Side= Diagonal/\sqrt{2}$

$side= 10\sqrt{2} /\sqrt{2}$

Side= 10 cm

Perimeter of square= 4*side

                                 = 4*10

                                = 40 cm

                                   

Answer 2

Answer: 288.50 cm

Step-by-step explanation:

let a be the side of the square,

and b be the diagonal of the square.

Then c^2 = a^2 + a^2

=> c=√2 × a

Here c = 102 cm

=> a = 102/√2

Therefore perimeter of the square be

= 4 x (102/√2) =288.50