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IMAS 2020–2021 Junior Round 2 Question 3

IMAS · IMAS 2020–2021 Junior Round 2

Question 3

In the figure, $ABC$ is a right triangle such that $\angle ACB=90^\circ$, $AC=6$, $CB=8$ and $CDEF$ is a square. If $AF$ meets $DE$ at point $K$, then what is the value of $\frac{DK}{EK}$?

Question illustration
  1. $\frac34$
  2. $\frac35$
  3. $\frac9{16}$
  4. $\frac{\sqrt3}{2}$
  5. $\frac7{15}$