This week's maths problem

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Problem of the week

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On Friday of each week we will post a new maths challenge.
You may submit your solution by the following Thursday.
Each problem contains two different levels of difficulty. You will be awarded from 2 to 12 points for a full answer.
Each series contains 12 problems before the stage winner is determined.
Your score will be published here.

In each series we will give away 3 books as prices. The prices will be drawn by lot among the best ten participants of the series. The books are kindly sponsored by Buchdienst Rattei of Chemnitz.

Suggestions for problems are welcome.

Deadline is 30st of September 2021.


German version - Italian version - French version - Spanish version  Hungarian Version Russian version  --> 中文/Chinese <--

Series 58

problem 686

 

686

“You know that I'm responsible for the classic tasks. And this construction is really surprising.”, Bernd's and Maria's grandpa said. “Let's see”, both said.
All circles do have the radius 1 (cm). The first circle does have the center M. AC and DE are perpendicular to each other. The center of the lower circles and point A are all situated on a parallel to DE. The equilateral triangle DMF gets constructed. The extension of MF goes along to the center M1. The rest comes about easily.
How big is the area of the red triangle FEM? 4 blue points.
The surprising thing of the construction is the length of side a of the blue triangle. Why? 4 red points.


 

-> Enigma <--

https://www.schulmodell.eu/images/stories/mathe/horst/raetsel.php

 


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adress:
Thomas Jahre
Stollberger Strasse 25
09119 Chemnitz
Germany


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post address:

Thomas Jahre
Chemnitzer Schulmodell
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09119 Chemnitz
Deutschland/Germany
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