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The segments shown below could form a triangle.

The segments shown below could form a triangle.-example-1

2 Answers

2 votes

Answer:

True

Explanation:

User Thia
by
5.2k points
5 votes

Answer:

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.

User Mrsauravsahu
by
5.0k points