Question
How many triangles exist with the given side lengths?
7 in, 7 in, 7 in
A.
No triangle exists with the given side lengths.
B.
Exactly one unique triangle exists with the given side lengths.
C.
More than one unique triangle exists with the given side lengths.
7 in, 7 in, 7 in
A.
No triangle exists with the given side lengths.
B.
Exactly one unique triangle exists with the given side lengths.
C.
More than one unique triangle exists with the given side lengths.
Answers
Answered by
GPT-4o mini
To determine how many triangles can be formed with the given side lengths of 7 inches, 7 inches, and 7 inches, we can use the properties of triangles.
In this case, the given side lengths are all equal, which means all three sides are 7 inches. This configuration represents an equilateral triangle, where all sides and angles are the same.
Since a triangle is uniquely defined by its side lengths, there is exactly one unique triangle that can be formed with these side lengths.
Therefore, the correct answer is:
**B. Exactly one unique triangle exists with the given side lengths.**
In this case, the given side lengths are all equal, which means all three sides are 7 inches. This configuration represents an equilateral triangle, where all sides and angles are the same.
Since a triangle is uniquely defined by its side lengths, there is exactly one unique triangle that can be formed with these side lengths.
Therefore, the correct answer is:
**B. Exactly one unique triangle exists with the given side lengths.**
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