If you can form a triangle from three given side lengths, will you always get one triangle or more than one triangle?
A) Yes
B) No
C) Sometimes
D) Only if the lengths are equal
Question & Answer
If you can form a triangle from three given side lengths, will you always get one triangle or more than one triangle?
1 Answer
Verified archiveC) Sometimes
A triangle can be formed from three given side lengths if they meet the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. If the side lengths are different, you will only get one unique triangle. However, if the given side lengths allow for different combinations (such as two sides being equal), you may form more than one triangle. Therefore, the number of triangles can vary based on the specific lengths provided.