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Can you construct a triangle that has side lengths 2 in., 3 in., and 6 in.

User Cvk
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2 Answers

3 votes

We can not construct a triangle that has sides length 2 inches, 3 inches and 6 inches. It is because of the triangle inequality rule.


The triangle inequality rule states that all pairs of the values should be greater than the other side.


So for example 2 + 6 is greater than 3, similarly 3 + 6 is greater than 2, but 2 + 3 is not greater 6 so we can not construct a triangle with these sides as it does not obeys the triangle inequality rule.


I hope that this answer helps.

User VinceOPS
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7.6k points
3 votes
Quick answer: No
2+3 must be larger than 6. 5 is not larger than six. Hence no triangle.
User Waterscar
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