MathDB
locus, incenter, incircle, parallel related

Source: Sharygin 2019 10 p7

August 15, 2019
geometryincenterLocusincircle

Problem Statement

Let PP be an arbitrary point on side BCBC of triangle ABCABC. Let KK be the incenter of triangle PABPAB. Let the incircle of triangle PACPAC touch BCBC at FF. Point GG on CKCK is such that FG//PKFG // PK. Find the locus of GG.
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