# Plane Separation : Convex Triangle

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If A,B,C are noncollinear in a metric geometry prove that triangle ABC is convex.

Â© BrainMass Inc. brainmass.com March 6, 2023, 12:47 pm ad1c9bdddfhttps://brainmass.com/math/triangles/plane-separation-convex-triangle-17602

#### Solution Summary

Convexity of a triangle is proven. The solution is detailed and includes a diagram.

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