# Ratio Stories

Geometry Level 4

In the given diagram above, triangle $$ABC$$ and triangle $$EDC$$ are right angled at $$B$$ and $$D$$ respectively. $$AB=ED=3$$and $$BC=CD=4$$. $$BE$$ is joined and line segment $$BE$$ intersects $$AC$$ at $$M$$.

Find the ratio in which $$M$$ divides the line segment $$BE$$, i.e. find $$BM:ME$$.

Note: Diagram not to scale.

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