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MathNet 1999 — Part 01 Question 136

Math Olympiad Vault · MathNet 1999 — Part 01

Question 136

Squares $ABKL$, $BCMN$, $CAOP$ are drawn externally on the sides of a triangle $ABC$. The line segments $KL$, $MN$, $OP$, when extended, form a triangle $A'B'C'$. Find the area of $A'B'C'$ if $ABC$ is an equilateral triangle of side length $2$.