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2018 Canadian Open Math Challenge
B2
B2
Part of
2018 Canadian Open Math Challenge
Problems
(1)
2018 COMC B2
Source:
12/6/2018
Source: 2018 Canadian Open Math Challenge Part B Problem 2 —--Let ABCD be a square with side length 1. Points
X
X
X
and
Y
Y
Y
are on sides
B
C
BC
BC
and
C
D
CD
C
D
respectively such that the areas of triangels
A
B
X
ABX
A
BX
,
X
C
Y
XCY
XC
Y
, and
Y
D
A
YDA
Y
D
A
are equal. Find the ratio of the area of
△
A
X
Y
\triangle AXY
△
A
X
Y
to the area of
△
X
C
Y
\triangle XCY
△
XC
Y
. https://services.artofproblemsolving.com/download.php?id=YXR0YWNobWVudHMvZi9lLzAzZjhhYzU0N2U0MGY2NGZlODM4MWI4Njg2MmEyMjhlY2M3ZjgzLnBuZw==&rn=YjIuUE5H
Comc
2018 COMC