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SMO 2006 Junior Round 1 Question 24

SMO · SMO 2006 Junior Round 1

Question 24

In this question, $S_{\triangle XYZ}$ denotes the area of $\triangle XYZ$. In the following figure, if $DE\parallel BC$, $S_{\triangle ADE}=1$, and $S_{\triangle ADC}=4$, find $S_{\triangle DBC}$.

Question illustration