Question

If two sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side? Explain your answer thoroughly. if we donate the third side as c then.......

enter as a double inequality

Answer 1

The third side has to be at *least* 10 units and at *most* 22. This is because all possible triangles you could form by connected those two lengths have to be at or between two “extremes.” One where the two sides are pointing opposite directions, and one where they’re pointing the same direction. We can describe this constraint with the inequality

10 <= c <= 22