Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles.

Question

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​12 ft, 7 ft, 14 ft

A.
unique triangle

B.
many different triangles

C.
no triangles
Hey! Can you guys help me out with this? I don't really know how to do it.

Answer 1

As long as the largest side is less than the sum of the other two sides, they can form a triangle. In fact, A.

This is handy in construction, because triangular braces cannot be squashed easily. Rectangles, though, can be skewed into parallelograms without changing the side lengths.

Answer 2

thank you so so so much oobleck!!