Thursday, April 11, 2013

Problem 870: Triangle, Median, Squares, Centers, Vertices, Collinear Points, Midpoint

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

Click the figure below to see the complete problem 870.

Online Geometry Problem 870: Triangle, Median, Three Squares, Centers, Vertices, Collinear Points, Midpoint

Posted by Antonio Gutierrez at 3:44 AM
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1 comment:

  1. W FungApril 11, 2013 at 8:13 AM

    Consider the group of homothety rotation, H(k,x), k represent the scale factor and x represent the anti-clockwise rotational angle.

    Then
    H(1, 90°) map ABC to DBH
    H(sqrt2, 45°) map ABC to EBM
    H(1/sqrt2, 45°) map ABC to O1BO3

    The ratio of line segment is preserved under the group action.

    q.e.d.

    ReplyDelete

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