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 28th. September 2023.

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

Series 64

problem 760 

"Look, inside the blue Pythagorean triangle (3-4-5) I have drawn a red triangle EFG," said Bernd. The circle around A has the radius 1/c, the circle around B has the radius 1/a and the circle around C has the radius 1/b.
Calculating the length of the line FD brings 3 blue points. Is the angle at D, i.e. angle FDE, a right angle? For a confirmation (or not) there are again 3 blue points avaible.
What percentage of the blue area is covered by the red area? 6 red points

Deadline for solution is the 28th. September 2023.

-> Enigma <--

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

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adress:
Thomas Jahre
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09119 Chemnitz
Germany

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