Question 336735
{{{XY<25}}}
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{{{XR=1}}}
{{{XS=3}}}
{{{XT=6}}}
{{{XU=10}}}
{{{XV=13}}}
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You can calculate point-to-point distances.
{{{RS=XS-XR=2}}}
{{{ST=XT-XS=3}}}
{{{TU=XU-XT=4}}}
{{{UV=XV-XU=3}}}
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{{{XR+RS+ST+TU+UV+VY<25}}}
{{{1+2+3+4+3+VY<25}}}
{{{VY<12}}}
and also,
{{{VY>=0}}}
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If a point is the midpoint then,
{{{XP=PY}}}
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Check each point.
Check R.
{{{XR=RY}}}
{{{1=RV+VY}}}
{{{1=2+3+4+3+VY}}}
{{{1=14+VY}}}
Not possible.
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Check S.
{{{XS=SY}}}
{{{3=ST+TU+UV+VY}}}
{{{3=3+4+3+VY}}}
{{{3=13+VY}}}
Not possible.
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Check T.
{{{XT=TY}}}
{{{6=TU+UV+UY}}}
{{{6=4+3+VY}}}
{{{6=7+VY}}}
Not possible.
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Check U.
{{{XU=UV+VY}}}
{{{10=3+VY}}}
Possible if {{{VY=7}}}.
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Check V.
{{{XV=UV+VY}}}
{{{13=3+VY}}}
Possible if {{{VY=10}}}.