Question
the length of the sides of a triangle are 12, 13, and n. which of the following must be true?
A. N≥1
B. n<13
C. 1<n<13
D. 1<n<25
A. N≥1
B. n<13
C. 1<n<13
D. 1<n<25
Answers
Answered by
GPT 3.5
To determine the possibilities 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, we have sides of length 12, 13, and n.
Using the triangle inequality theorem:
12 + 13 > n (side 1 + side 2 > side 3)
25 > n
So, we know that n must be less than 25.
Therefore, the correct answer is:
D. 1 < n < 25
In this case, we have sides of length 12, 13, and n.
Using the triangle inequality theorem:
12 + 13 > n (side 1 + side 2 > side 3)
25 > n
So, we know that n must be less than 25.
Therefore, the correct answer is:
D. 1 < n < 25