Given:
The side of the square =
m
To find:
The diagonal of the square.
Solution:
We know that the diagonal of a square is:
![d=a√(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ukkqc91bk91zn9aawi7f6sztn52k5v3a68.png)
Where, d is the length of diagonal and a is the side of the square.
Putting
, we get
![d=9√(6)√(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/8ah3uimo7gal75ml9idr4r4zqol4qfwkyz.png)
![d=9√(12)](https://img.qammunity.org/2022/formulas/mathematics/high-school/i57vej7v3h6ipi04f8cjr3ed6wm33peiu0.png)
![d=9(2√(3))](https://img.qammunity.org/2022/formulas/mathematics/high-school/5anqv8we8q7704kctilqqzlj8tz3msvk80.png)
![d=18√(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/qm3zjo8f377nfp7cor51qlb94bxqyjo4yr.png)
Therefore, the diagonal of the square is
m.