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SASMO 2020 Grade 10 Question 13

SASMO · SASMO 2020 Grade 10

Question 13

The circle is centred at $A$. Segments $BE,BF$ are tangents. Point $C$ lies on $AB$ and the circle, as shown. Point $D$ is on $BE$ with $CD\perp BE$. If $BE=12$ and $BC=8$, find $CD$.

Question illustration
  1. $\frac{25}{13}$
  2. $\frac{24}{13}$
  3. $\frac{40}{13}$
  4. $\frac{12}{5}$
  5. None of the above