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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

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