Answer:
Yes, it will fit snugly in a 90º corner
Step-by-step explanation:
To do this, we simply need to check if the given sides of the shelf is right-angled.
So, we have:
[tex]Hypotenuse = \sqrt{242[/tex]
[tex]Side\ 1 = Side\ 2 = 11[/tex]
To check for right-angle triangle, we make use of:
[tex]Side\ 1^2 + Side\ 2^2 = Hypotenuse^2[/tex]
This gives:
[tex]11^2 + 11^2 = \sqrt{242}^2[/tex]
[tex]121 + 121 = \sqrt{242}^2[/tex]
[tex]242 = \sqrt{242}^2[/tex]
[tex]242 = 242[/tex]
This shows that the given sides of the shelf is a right-angled triangle.
Hence, it will fit the wall
