Question

6. Find the side and perimeter of a square whose diagonal is 10 cm.​

Answer 1

Step-by-step explanation:

diagonal of a square = root (2) × side

10 = root 2 × side

10 / root 2 = side

5 root 2 = side

perimeter of square = 4 × side

i.e = 4× 5 root 2

Answer 2

Step-by-step explanation:

• in figure∆ ABC angle ABC=90°

let AB=BC=x

by Pythagoras theorem

AC^2=AB^2+BC^2

10^2=x^2+x^2

100=2x^2

100/2=x^2

50=x^2

x=√50

x=5√2

side of square is 5√2cm

perimeter of square=4×side

=4×5√2

=20√2cm