Question

Show that a triangle can never be concave?​

Answer 1

Answer:

• A concave polygon is defined as a polygon with one or more interior angles greater than 180°.
• It looks sort of like a vertex has been 'pushed in' towards the inside of the polygon.
• Note that a triangle (3-gon) can never be concave. A concave polygon is the opposite of a convex polygon.
• A concave polygon is one which has at least one internal angle greater than 180 degrees. Since the total of all three angles in a triangle is 180 degrees, a concave triangle is undefined, at least in Euclidean space.

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Answer 2

Answer:

No a triangle can never be concave. For a figure to be concave one of its interior angles must be greater than 180 but in a triangle the sum of all its interior angles is 180. Thus, none of a triangle's interior angles can exceed 180 degrees, so it will never be concave.  the term concave does not refer to triangles at all.  Concave and convex refers to graphs of curving lines.  Also refers to optical surfaces like glasses that have a curve in the lense to give power so a person can see either close up or far away.  Therefore triangles never have concave lines.

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