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SMO 2009 Junior Round 1 Question 15

SMO · SMO 2009 Junior Round 1

Question 15

Triangle $ABC$ has $\angle BAC=90^\circ$. Squares are constructed on $AB$ and $BC$ as shown. Square $ABDE$ has area $8\text{ cm}^2$, and square $BCFG$ has area $26\text{ cm}^2$. Find the area of triangle $DBG$ in square centimetres.

Question illustration