Answer:
The side lengths can not form a triangle
Step-by-step explanation:
Given
[tex]Sides: 23,16,7[/tex]
Required
Can the side lengths can form a triangle?
To do this, we apply triangle Inequality Theorem, which states that for sides a, b and c:
[tex]a + b>c[/tex] , [tex]c + b>a[/tex] and [tex]c + a>b[/tex]
In this case, we have:
[tex]23 + 16 > 7[/tex]
[tex]39 > 7[/tex] --- True
[tex]23 + 7 > 16[/tex]
[tex]30 > 16[/tex] --- True
[tex]16 + 7 > 23[/tex]
[tex]23 > 23[/tex] --- False
Hence, the side lengths can not form a triangle
