Question
The lengths of the sides of a triangle are 10, 11 and n. Which of the following must be true? (1 point)
Answers
GPT 3.5
The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, in this case, the sum of the lengths of the sides 10 and 11 must be greater than the length of side n:
10 + 11 > n
Simplifying:
21 > n
Therefore, the following must be true:
n can be any value less than 21, excluding 10 and 11.
Therefore, in this case, the sum of the lengths of the sides 10 and 11 must be greater than the length of side n:
10 + 11 > n
Simplifying:
21 > n
Therefore, the following must be true:
n can be any value less than 21, excluding 10 and 11.