Wednesday, October 14, 2015

Geometry Problem 1153: Triangle, Angle Bisectors, Perpendicular, Congruence

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the diagram below for more details.

Online Math: Geometry Problem 1153: Triangle, Angle Bisectors, Perpendicular, Congruence.

Posted by Antonio Gutierrez at 12:30 PM
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2 comments:

  1. Peter TranOctober 14, 2015 at 3:40 PM

    Let I is incenter of triangle ABC
    Let BI meet AC at L
    Observe that EBDI is a complete quadrangle so L, F are harmonic conjugate points of A and C.
    Since BL is an internal bisector of angle ABC So BL is external bisectors of angle ABC and FH=FG

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  2. c.t.e.oOctober 15, 2015 at 11:29 AM

    this problem need
    1) BF bisector of CBH
    2) IBF = 90
    3) BI // GH
    4) GB = BH
    It is possible in another construcsion included AB > BC

    ReplyDelete

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