# We have a triangle and a line and three statement about them:

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We have a triangle and a line and three statement about them:

• The line goes through the midpoint of the incircle of the triangle.
• The line divides the triangle's area into two equal areas.
• The line divides the triangle's perimeter into two equal parts.

Is it always true, that if any two of the statement is true, then the third is also holds true?

posted Jun 21, 2017
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