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The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters.

User Zwenn
by
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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
7.3k points