Monthly Archives: June 2024

Algebra/Geometry Challenge – 1

As shown in the following figure, $D$, $E$, $F$ are on the sides of $\triangle{ABC}$, $AC$, $AB$, and $BC$ respectively. $AE=BE$, $AD=6$, $CD=7$, $BF=2$, $CF=9$. $DEFG$ is a square. The length of $AB$ can be expressed as $\ \ \ … Continue reading

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