The lengths of the sides of a triangle must satisfy 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 sides of the triangle are 10, 11, and n. Therefore, we know that:
10 + 11 > n
21 > n
Therefore, n must be less than 21. Additionally, since the lengths of sides in a triangle must be positive, n must also be greater than or equal to 1.
Therefore, the correct answer is D. n ≥1.
The lengths of the sides of a triangle are 10, 11 and n. Which of the following must be true? (1 point)
Responses
A.1 < n < 11
B. n < 11
C.1 < n < 21
D. n ≥1
1 answer
1 answer