Morteza marks six points in the plane. He then calculates and writes down the area of every triangle with vertices in these points ($20$ numbers). Is it possible that all of these numbers are integers, and that they add up to $2019$?
Problem
Source:
Tags: geometry
TheDarkPrince
06.03.2019 16:00
Nice problem. Not too sure about this one.
Attachments:
Problem 11.pdf (154kb)
AlastorMoody
06.03.2019 16:19
hansu told me he has an amazing solution for this! Care to share??
SHREYAS333
06.03.2019 16:23
Even I have a somewhat amazing solution
TheDarkPrince
06.03.2019 16:42
SHREYAS333 wrote: Even I have a somewhat amazing solution Care to share
SHREYAS333
06.03.2019 16:48
TheDarkPrince wrote: SHREYAS333 wrote: Even I have a somewhat amazing solution Care to share I have uploading issues here (I sent it in whatsapp , if you can , then upload it )
MathBoy23
06.03.2019 18:51
I got this idea in the toilet on 3rd Feb . And by far my favourite.
Attachments:
K.pdf (174kb)
e_plus_pi
10.03.2019 09:16
Could have been interchanged with P 13
Attachments:
Sharygin- 11.pdf (27kb)