Question

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

Answer 1

Quick answer: No
2+3 must be larger than 6. 5 is not larger than six. Hence no triangle.

Answer 2

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.