Question

The segments shown below could form a triangle.

Answer 1

True

Explanation:

Answer 2

The answer is false.

Explanation:

Given line segments are :

AC = 9

CB = 8

AB = 17

As per the triangle inequality theorem the sum of any 2 sides should be greater than the third side. This should be true to all the three combinations.

`AC+CB>AB` =>
`9+8>17` =>
`17>17` (not true)

`AC+AB>CB` =>
`9+17>8` =>
`26>8` ( true)

`AB+CB>AC` =>
`17+8>9` =>
`25>9` (true)

As we can see only two conditions are fulfilled not the third one, so the triangle cannot be formed.

The answer is false.