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2016 TIMC keystage3-IWYMIC individual Question 8

xIMC · 2016 TIMC keystage3-IWYMIC individual

Question 8

In triangle $ABC$, $BC=13$ cm, $CA=14$ cm and $BA=15$ cm. $D$ and $E$ are points on sides $BC$ and $AC$, respectively, such that $DE$ is parallel to $AB$. If triangle $EDC$ has the same perimeter as the quadrilateral $ABDE$, determine $\frac{BD}{DC}$.

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