Question

Determine whether or not the side lengths can be sides of a triangle 23, 16, 7

Answer 1

The side lengths can not form a triangle

Explanation:

Given

`Sides: 23,16,7`

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:

`a + b>c` ,
`c + b>a` and
`c + a>b`

In this case, we have:

`23 + 16 > 7`

`39 > 7` --- True

`23 + 7 > 16`

`30 > 16` --- True

`16 + 7 > 23`

`23 > 23` --- False

Hence, the side lengths can not form a triangle