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2023 Swedish Mathematical Competition
2
2
Part of
2023 Swedish Mathematical Competition
Problems
(1)
largest area by 2 cevians in a triangle
Source: 2023 Swedish Mathematical Competition p2
3/24/2024
A triangular colony area is divided into four fields of varying size as shown in the figure below shows. The only other thing we know is that the distances
A
F
AF
A
F
,
F
D
FD
F
D
,
B
F
BF
BF
and
F
E
FE
FE
have the lengths
5
5
5
,
2
2
2
,
4
4
4
and
2
2
2
respectively (in
10
10
10
s of m). When the lots are distributed, Joar gets to choose first. Which lot should he choose to get the one with the largest area? https://cdn.artofproblemsolving.com/attachments/9/5/073e2699d54c8ee3a4dd7d23b69c2a894fd93e.png
geometry