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There is a triangle of $$ABC$$ that has center $$I$$ and touches the side $$BC$$ at $$D$$. Let the midpoints of $$AD$$ and $$BC$$ be $$M$$ and $$N$$, respectively. Prove that $$M,I,N$$ are colllinear.

So I am in class 11, CBSE, India, I consider myself average in Mathematics. I recently got selected for an Olympiad, and then this question pops up in my favorite area of Math and it borderline depresses me that I can't solve it, please help!

Note by S M
3 months, 1 week ago

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What does 'thers is a circle of ABC' mean? Does that mean that the circle is an incircle? · 3 months, 1 week ago

So stupid of me, Mr.Wen, I actually meant "triangle". · 2 months, 2 weeks ago