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#24

Let $$P$$ be an interior point of a triangle $$ABC$$ whose side lengths are $$26,65,78$$.The line through $$P$$ parallel to $$BC$$ meets $$AB$$ in $$K$$ and $$AC$$ in $$L$$.The line through $$P$$ parallel to $$CA$$ meets $$BC$$ in $$M$$ and $$BA$$ in $$M$$.The line through $$P$$ parallel to $$AB$$ meets $$CA$$ in $$S$$ and $$CB$$ in $$T$$.If $$KL$$, $$MN$$,$$ST$$ are of equal lengths,find this common length.

Note by Vilakshan Gupta
2 months ago