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39 votes
39 votes
Question

Is it possible to construct a triangle with side lengths of 3, 6, and 9 units? If not, explain why not

User Islam Hassan
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1 Answer

17 votes
17 votes

Answer:

No

Explanation:

No.

The triangle inequality theorem says that ANY two sides of a triangle MUST be greater than the third side.

In this case 3+6 is equivalent to 9 (it wouldn't be a triangle; just be a straight line), NOT greater, therefore is is not possible to construct a triangle with the given side lengths.

User Typingduck
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2.8k points