Tuesday, February 21, 2017

Geometry Problem 1317: Triangle, Excircle, Chord, Tangent, Midpoint, Arc, Sum of two Segments, Congruence

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

Details: Click on the figure below.

Geometry Problem 1317: Triangle, Excircle, Chord, Tangent, Midpoint, Arc, Sum of two Segments, Congruence.

Posted by Antonio Gutierrez at 8:09 AM
Labels: , , , , , , ,

4 comments:

  1. c.t.e.oFebruary 25, 2017 at 10:51 AM

    Draw C`B` tg to O at F` and // to DE. Join F to H and extend at A` (AE extended)
    Draw A`A´` (A`` at AD extended) perpendicular to AO extended, join C` to midpoint of A`A``
    Like P1315 => result

    ReplyDelete
  2. c.t.e.oFebruary 25, 2017 at 1:20 PM

    Join F to H need to be Join F` to H

    ReplyDelete
  3. Peter TranMarch 12, 2017 at 9:28 PM

    To c.t.e.o

    See below for the sketch per your solution as above.

    https://goo.gl/photos/ugcUvNraGe6JuUgH7

    Suppose that the result of Pr1315 is correct. I don't see how the result of Pr1315 help to prove that DG+HE= GH . please explain

    Peter Tran

    ReplyDelete
  4. c.t.e.oMarch 13, 2017 at 1:17 AM

    If you complete drawings, join C`, B` to M and C`, B` to midpoint of A`A``
    Triangles formed by B`C` and points M and midpoint of A`A`` are isoceles so
    segment parts on DE are equal
    About point T of P1315
    If T move counterclockwise, C move right up, and A move left down , so G move
    towards M and N towards E so DG get bigger so and MN at the same length
    So DG, MN are dependent from T

    ReplyDelete

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