Angle Bisectors and a Math Olympiad Geometry Problem [Geometry]

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We'll use the angle bisector theorem, the law of sines, and geometric principles to solve a math olympiad problem in this video. We will connect angle bisectors to the sines of their angles, using both geometry and trigonometry. We'll utilize graphs to find the final answer. For more background on the problem, it's one of my favorite geometry problems of all time. I discovered it on reddit a few months ago. It comes from a Bulgarian junior math olympiad selection test. I found it interesting because it shows you an interesting way to connect angle bisectors to the law of sines. I hope you have as much fun as I did with this geometry problem. Have a great day!

#matholympiadquestion
#matholympiadquestions
#geometry
  1. Vital Sine
  2. angle bisector
  3. angle bisector theorem
  4. angle bisectors
  5. law of sines
  6. math olympiad
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Комментарии
Автор

Hello everyone, thanks for watching the video. Let me know if you have any ideas for future videos, and if you'd like to see more olympiad problems in the future. Have an amazing day :)

VitalSine
Автор

Hey, very cool problem Vital! 👌
May I ask you what kind of software you use for your videos?
Hope you have a great day buddy!

MindMathMoney
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Interesting problem, but their has to be a better way to solve this problem. I mean if it's a Math Olympiad problem then their must be some kind of trick to solve it faster.

ineedken