SEAMO 2027 - Paper E - SET 09 - Self-study Question 6

In trapezoid $ABCD$, $AB\parallel CD$. Points $M,N$ are the midpoints of legs $AD,BC$. Segment $MN$ meets $AC$ at $P$ and $BD$ at $Q$. If $AB=7$ and $CD=13$, find $PQ$.



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