Answer:
The shelf is not a right triangle
Step-by-step explanation:
Given
[tex]Sides = 14, 8, 8[/tex]
Required
Determine if it is a right triangle
To do this, we make use of Pythagoras theorem which implies that; the square of the longest side = the sum of the square of the two other sides.
So, we have:
[tex]14^2 = 8^2 + 8^2[/tex]
Evaluate all squares
[tex]196 = 64 + 64[/tex]
[tex]196 = 128[/tex]
The above is not true because:
[tex]196 \ne 128[/tex]
Hence, the shelf is not a right triangle