Saturday, March 4, 2023

Geometry Problem 1519: Discover the Length of a Segment in a Parallelogram using Midpoints and Parallel Lines. Difficulty Level: High School.

Geometry Problem 1519. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

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Geometry Problem 1519: Discover the Length of a Segment in a Parallelogram using Midpoints and Parallel Lines. Difficulty Level: High School.

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Posted by Antonio Gutierrez at 2:03 PM
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3 comments:

  1. c.t.e.o.March 4, 2023 at 3:45 PM

    x = 9 (simple Pr)

    ReplyDelete
  2. Peter TranMarch 4, 2023 at 5:43 PM

    Draw FP// CD ( P is on AD)
    Since F is the midpoint of AE so FP= .5*CD= 6
    GH= 1/(FP+CD)= 9

    ReplyDelete
  3. Sumith PeirisMarch 4, 2023 at 11:49 PM

    Extend HG to meet BC at K. Draw FL // AB, L on BC

    Applying mid point theorem to Tr.s ABE & CFL,
    GK = FL/2 = (AB/2)/2 = AB / 4 = CD/4 = 12 / 4 = 3

    Now CDHK is a parallelogram
    So GH = HK - GK = 12 - 3 = 9

    Sumith Peiris
    Moratuwa
    Sri Lanka

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