HMMT November 2018 U29

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Answer

An isosceles right triangle $A B C$ has area 1. Points $D, E, F$ are chosen on $B C, C A, A B$ respectively such that $D E F$ is also an isosceles right triangle. Find the smallest possible area of $D E F$ .

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{1}{5}

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