Question

side of square is 4cm , length of its diagonal is........
​

Answer 1

Answer:

4√2cm or √32 cm

Step-by-step explanation:

d

side of square = 4 cm

diagonal divides square into two equal right angled triangle so By Pythagoras theorem

H2= P2 + B2

H2 = 4square + 4square

H square = 16 + 16

H square = 32

H = √32 cm

or H = 4√2 cm

Answer 2

Given: Side of square is 4cm.

To find: Length of its diagonal

Solution:

• A diagonal is the line that joins the opposite corners of given figure.
• In order to calculate the length of the diagonal of a square, the following formula is used,

        $d = a\sqrt{2}$  

• Here, d is the length of the diagonal and a is the side of the square.
• On calculating according to the formula, the length of the diagonal is obtained as,

        $d = 4cm \sqrt{2}$

           $= 5.66cm$

Therefore, the length of the diagonal is 5.66 cm.