MathDB

ASU 204 All Soviet Union MO 1974 min common area of two triangles

Source:

July 4, 2019

geometryminimumareas

Problem Statement

Given a triangle

ABC

with the are

1

. Let

A',B'

and

C'

are the midpoints of the sides

[BC], [CA]

and

[AB]

respectively. What is the minimal possible area of the common part of two triangles

A'B'C'

and

KLM

, if the points

K,L

and

M

are lying on the segments

[AB'], [CA']

and

[BC']

respectively?