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SMO 2006 Junior Round 1 Question 6

SMO · SMO 2006 Junior Round 1

Question 6

The diagram shows an equilateral triangle $ADE$ inside a square $ABCD$. What is the value of $\dfrac{\text{area of }\triangle ADE}{\text{area of }\triangle DEC}$?

Question illustration
  1. $\frac{\sqrt3}{4}$
  2. $\frac14$
  3. $\frac{\sqrt3}{2}$
  4. $\sqrt3$
  5. $2$