223k views
5 votes
The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters.

User Zwenn
by
8.1k points

1 Answer

3 votes

Answer:

No triangles can be constructed

Explanation:

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

In this problem

4+5>9 ------> is not true / is wrong

therefore

No triangles can be constructed with the given side lengths

Hope this helped !

User Vahid Farahmand
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories