The lengths of the sides of a triangle are 10, 11 and n. Which of the following must be true? (1 point) Responses 1 < n < 11 1 < n < 11 n ≥ 1 n is greater than or equal to1 1 < n < 21 1 < n < 21 n < 11
To determine the possible range for the length of the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, the sum of the lengths of the sides 10 and 11 is 21, so the third side must be less than 21 in order for the triangle to exist.
Therefore, the correct answer is:
1 < n < 21