To determine which statements are true, 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.
Given the side lengths of the triangle as 10, 11, and n, we can compare the combinations of side lengths:
Combination 1: n + 10 > 11
Combination 2: n + 11 > 10
Combination 3: 10 + 11 > n
Combination 1 simplifies to n > 1
Combination 2 simplifies to n > -1
Combination 3 simplifies to n < 21
Based on these combinations, we can conclude that the correct statement is:
4. 1 < n < 21
The links of the side of a triangle or 10, 11 and n which of the following must be true.
1. n < 11
2. n > 1
3. 1 < n < 11
4. 1 < n < 21
1 answer
1 answer