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 11th. April 2024.


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

Series 66

problem 782

 

782

"Take a look at the parallelogram that I have drawn into the coordinate system. It contains the point E (4; 2). The red circle has a radius of 1 cm," said Maria.
What are the areas of the triangles ABE and BCE? 5 blue points.
(Integer coordinates of points can be included in further calculations). There are five red points for the calculation of a new point E (x; 2) if the circle touches the side b of the parallelogram from the inside.

Deadline for solution is the 11th. April 2024.


 

 


-> Enigma <--

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

 

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You can also send a paper copy of your solution as long as it is postmarked on or before the deadline.
adress:
Thomas Jahre
Paul-Jäkel-Straße 60
09113 Chemnitz
Germany


Links:

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http://people.missouristate.edu/lesreid/potw.html

post address:

Thomas Jahre
Chemnitzer Schulmodell
Stollberger Straße 25
09119 Chemnitz
Deutschland/Germany
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