Question

How many triangles exist with the given side lengths? 4 meters, 4 meters, 7 meters. A. More than one unique triangle exists with the given side lengths. B. Exactly one unique triangle exists with the given side lengths. C. No triangle exists with the given side lengths.

Answer 1

Answer: B = Exactly one unique triangle exists with the given side lengths.

Explanation:

Answer 2

We know that if two triangles have all the sides in common, then they are congruent.

So, with all 3 side lengths fixed, you can generate only one unique triangle.

By "unique", I mean that all the triangles you can build will be either rotations or translations of each other.