Ononot — In a triangle ABC with sides a=15, b=20, c=25, a line segmen

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Euclidean 2Dhard

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In a triangle $ABC$ with sides $a=15, b=20, c=25$ , a line segment $DE$ is drawn parallel to $AC$ where $D$ is on $AB$ and $E$ is on $BC$ . If the area of $\triangle BDE$ is $\frac{4}{9}$ of the area of $\triangle ABC$ , find the length of $DE$ .