MathDB
Geometry

Source: PRMO 2017

September 16, 2017
geometry

Problem Statement

Let PP be an interior point of a triangle ABCABC whose sidelengths are 26, 65, 78. The line through PP parallel to BCBC meets ABAB in KK and ACAC in LL. The line through PP parallel to CACA meets BCBC in MM and BABA in NN. The line through PP parallel to ABAB meets CACA in SS and CBCB in TT. If KL,MN,STKL,MN,ST are of equal lengths, find this common length.
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