Question

the diagonal of a square is 1 foot in length. Which of the following is closest to the length of each each side of the square?
A. 8 in.
B. 10 in.
C. 11 in.
D. 7 in.

Answer 1

Ansthe length of the side of square is  

50

​

 or 5

2

​

Step-by-step explanation:

Given,

Length of diagonal is 10 cm

Let the length of side of a square is y cm.

By Pythagoras theorem,

(10)

2

=y

2

+y

2

100=2y

2

y

2

=

2

100

​

=50

y=

50

​

=5

2

​

So, the length of the side of square is  

50

​

 or 5

2

​

.