Question

Find the perimeter of the square if its diagonal is 10√2 cm

Answer 1

Answer:

40cm

Step-by-step explanation:

If diagonal is =10√2cm

then its side would be 10cm

Now perimeter=4×10

=40cm

Answer 2

Answer:

perimeter=40cm

Step-by-step explanation:

by Pythagoras theorem

a²+b²=c²

a and b are sides of square

value of a and b are equal

c=10√2 ,c²=(10√2)²=100×2=200

a²+b²=200

values of a and b are equal so substitute b² by a²

a²+a²=200

2a²=200

a²=200/2

a²=100

a=√100

a=10

perimeter of square=4×side

side =10cm

4×10=40cm

HOPE THIS ANSWER MAY HELPFULL