ABC is a paper triangle with AB = 36, AC = 72 and ∠B = 90o. Find the area of the set of points P inside the triangle such that if creases are made by folding (and then unfolding) each of A, B, C to P, then the creases do not overlap.(adsbygoogle = window.adsbygoogle || []).push({});

My Ideas:

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R is a 6 x 8 rectangle. R' is another rectangle with one vertex on each side of R. R' can be rotated slightly and still remain within R. Find the smallest perimeter that R' can have.

My ideas: How can this be? If it was rotated then it would seem to me that the vertices of the inscribed rectangle would pop out of the rectangle it is inscribed in.

thanks in advance

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# AIME Questions (I have to make USAMO)

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