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Omni-MATH / An isosceles right triangle ABC has area 1. Points D,E,F are chosen on BC,CA,AB respectively such that DEF is also an isosceles right triangle. Find the smallest possible area of …

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problem

An isosceles right triangle ABCA B C has area 1. Points D,E,FD, E, F are chosen on BC,CA,ABB C, C A, A B respectively such that DEFD E F is also an isosceles right triangle. Find the smallest possible area of DEFD E F.
Plain-text mathematical notation (without MathML)
An isosceles right triangle ABC has area 1. Points D,E,F are chosen on BC,CA,AB respectively such that DEF is also an isosceles right triangle. Find the smallest possible area of DEF.
Original LaTeX notation
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 $D E F$.

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Source and history

task_id
87cb8652-9b05-5191-a905-809e03d71582
task_key
test--87cb8652-9b05-5191-a905-809e03d71582
task_revision_id
1
config / split
/ test

Official source

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