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Odd "How many triangles are there in the picture?" Question From the First Stage of Israel's International Mathematical Olympiad Selection Process

So stage 1 of of Israel's International Mathematical Olympiad selection process took place on Monday, and this was one of the questions (6 or 7 out of 10).

Q:

(The way the shape is produced wasn't inscribed, but its a pretty easy guess): Draw an interval from each vertex of a square to the 2 midpoints of the sides it is not on.

How many triangles are there in the shape?

The Q's photo

Is there a (viable) way to solve questions similar to the one I showed?



from Hot Weekly Questions - Mathematics Stack Exchange

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