Sunday, February 19, 2023

Geometry Problem 1508: Understanding Triangle Geometry: Isosceles, Equilateral, Quadrilateral, Angular. Difficulty Level: High School.

Geometry Problem 1508. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1508: Understanding Triangle Geometry: Isosceles, Equilateral, Quadrilateral, Angular. Difficulty Level: High School.

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5 comments:

  1. Note that triangle ABC is equilateral and triangle ACD is isosceles. So angle BCD=120 degrees

    ReplyDelete
    Replies
    1. I believe there may be a small mistake in your answer.

      Delete
    2. Yes Antonio. I made a mistake angle BCD= 60+80= 140

      Delete
  2. Triangle ABC is equilateral and Triangle ACD is thus isosceles (80-20-80)

    Hence < C = 60 + 80 = 140

    Sumith Peiris
    Moratuwa
    Sri Lanka

    ReplyDelete
    Replies
    1. Some interesting results

      1) If BC and AD meet at X, then Tr. CDX is isoceles (40-40-100)
      2) If AB, DC meet at Y then Tr. AYD is isoceles 80-20-80
      3) The diagonals of ABCD cut at an angle of 70

      Delete