Question

find the perimeter of square of diagonal 5√2 cm

Answer 1

Hey friend, Here is your answer-
The perimeter of square is 20 cm. I can solve it by using Pythagores theorem and taking x is a side.
Hope it will help you friend

Answer 2

LET ABCD BE THE SQUARE,

IN ∆ ABC ,

(squaring both the sides)

$(5 \sqrt{2})^{2} = a ^{2} + a ^{2} \\ 25 \times 2 = 2 {a}^{2} \\ a ^{2} = 25 \\ \sqrt{a} = 5 \\ a = 5$

Perimeter of Square = 5 cm