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Omni-MATH / Suppose that A,B,C,D are four points in the plane, and let Q,R,S,T,U,V be the respective midpoints of AB,AC,AD,BC,BD,CD. If QR=2001,SU=2002,TV= 2003, find the distance between the …

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problem

Suppose that A,B,C,DA, B, C, D are four points in the plane, and let Q,R,S,T,U,VQ, R, S, T, U, V be the respective midpoints of AB,AC,AD,BC,BD,CDA B, A C, A D, B C, B D, C D. If QR=2001,SU=2002,TV=Q R=2001, S U=2002, T V= 2003, find the distance between the midpoints of QUQ U and RVR V.
Plain-text mathematical notation (without MathML)
Suppose that A,B,C,D are four points in the plane, and let Q,R,S,T,U,V be the respective midpoints of AB,AC,AD,BC,BD,CD. If QR=2001,SU=2002,TV= 2003, find the distance between the midpoints of QU and RV.
Original LaTeX notation
Suppose that $A, B, C, D$ are four points in the plane, and let $Q, R, S, T, U, V$ be the respective midpoints of $A B, A C, A D, B C, B D, C D$. If $Q R=2001, S U=2002, T V=$ 2003, find the distance between the midpoints of $Q U$ and $R V$.

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