Question

Given a triangle with two side lengths known to be 11 and 16, write an inequality that represents all the possible lengths of the unknown side.

Answer 1

Answer: x<27

Explanation:

Let's denote the unknown side length as "x". To form a valid triangle, the sum of any two sides must be greater than the third side. Therefore, we can write the following inequality based on the given information:

11 + 16 > x

Simplifying this inequality, we have:

27 > x

Thus, the inequality representing all possible lengths of the unknown side is x < 27.