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Constructing triangle with an angle of 120 degrees

Assignment:

Given triangle ABC with no angle >120 degrees, find and construct the point P for which PA + PB + PC is a minimum. What is this point called? What would be the case for a triangle with an angle of 120 degrees or more?

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Mathematics: Constructing triangle with an angle of 120 degrees

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Mathematics: Constructing triangle with an angle of 120 degrees

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