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VTMO 2020 — Grade 7 — vtmo Question 9

VTMO · VTMO 2020 — Grade 7 — vtmo

Question 9

Collinear $A , B , C$ occur in that order, $AB = 2 , BC = 1$. $D , E$ lie on the same side of $BC$ and $ABD , BCE$ are equilateral. Find area $ADEC$.
  1. $\frac{\sqrt{3}}{4}$
  2. $7$
  3. $3 \frac{\sqrt{3}}{4}$
  4. $7 \frac{\sqrt{3}}{4}$
  5. $2 \sqrt{3}$