Wednesday, December 29, 2010

Problem 560: Triangle, Cevian, Incenter, Incircle, Perpendicular, Tangent

Geometry Problem
Click the figure below to see the complete problem 560.

Problem 560: Triangle, Cevian, Incenter, Incircle, Perpendicular, Tangent.
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Level: High School, SAT Prep, College geometry

Posted by Antonio Gutierrez at 9:16 AM
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1 comment:

  1. c .t . e. oDecember 29, 2010 at 12:46 PM

    name V, S tang points between A and B
    Q, P between D and B,
    X, T between C and B
    BS = BT => BV - VS = BX - TX => BQ - VS = BP - TX
    BP + PQ - VS = BP - TX => PQ - VS = -TX
    PQ + TX = VS => PD - DQ + GH = MG
    PD - DQ + GH = MD + DG => PD - DQ + GH = DQ + DH - GH
    2GH = 2 DQ
    GH = DQ

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