Question

Come up with an example of three side lengths that can not possibly make a triangle, and explain how you know.

Answer 1

3, 5 and 15

Explanation:

According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 3, 5 and 15, since 3 + 5 is less than 15.

Answer 2

I think: 1 foot, 1 inch, and 1 inch
8 cm, 4 cm, and 2 cm