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Omni-MATH / Let ABCD be a rectangle with AB=6 and BC=4. Let E be the point on BC with BE=3, and let F be the point on segment AE such that F lies halfway between the segments AB and CD. If G i…

Problem

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problem

Let ABCDA B C D be a rectangle with AB=6A B=6 and BC=4B C=4. Let EE be the point on BCB C with BE=3B E=3, and let FF be the point on segment AEA E such that FF lies halfway between the segments ABA B and CDC D. If GG is the point of intersection of DFD F and BCB C, find BGB G.
Plain-text mathematical notation (without MathML)
Let ABCD be a rectangle with AB=6 and BC=4. Let E be the point on BC with BE=3, and let F be the point on segment AE such that F lies halfway between the segments AB and CD. If G is the point of intersection of DF and BC, find BG.
Original LaTeX notation
Let $A B C D$ be a rectangle with $A B=6$ and $B C=4$. Let $E$ be the point on $B C$ with $B E=3$, and let $F$ be the point on segment $A E$ such that $F$ lies halfway between the segments $A B$ and $C D$. If $G$ is the point of intersection of $D F$ and $B C$, find $B G$.

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Source and history

task_id
4b93430e-2384-5068-a792-3bbc09ef6e32
task_key
test--4b93430e-2384-5068-a792-3bbc09ef6e32
task_revision_id
1
config / split
/ test

Official source

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