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Omni-MATH / Let ABCD be a parallelogram with AB=8,AD=11, and ∠BAD=60^(∘). Let X be on segment CD with CX/XD=1/3 and Y be on segment AD with AY/YD=1/2. Let Z be on segment AB such that AX,BY, a…

Problem

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problem

Let ABCDA B C D be a parallelogram with AB=8,AD=11A B=8, A D=11, and ∠BAD=60∘\angle B A D=60^{\circ}. Let XX be on segment CDC D with CX/XD=1/3C X / X D=1 / 3 and YY be on segment ADA D with AY/YD=1/2A Y / Y D=1 / 2. Let ZZ be on segment ABA B such that AX,BYA X, B Y, and DZD Z are concurrent. Determine the area of triangle XYZX Y Z.
Plain-text mathematical notation (without MathML)
Let ABCD be a parallelogram with AB=8,AD=11, and ∠BAD=60^(∘). Let X be on segment CD with CX/XD=1/3 and Y be on segment AD with AY/YD=1/2. Let Z be on segment AB such that AX,BY, and DZ are concurrent. Determine the area of triangle XYZ.
Original LaTeX notation
Let $A B C D$ be a parallelogram with $A B=8, A D=11$, and $\angle B A D=60^{\circ}$. Let $X$ be on segment $C D$ with $C X / X D=1 / 3$ and $Y$ be on segment $A D$ with $A Y / Y D=1 / 2$. Let $Z$ be on segment $A B$ such that $A X, B Y$, and $D Z$ are concurrent. Determine the area of triangle $X Y Z$.

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Source and history

task_id
537fed37-71ac-5e36-9605-15364b8de6a9
task_key
test--537fed37-71ac-5e36-9605-15364b8de6a9
task_revision_id
1
config / split
/ test

Official source

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