MathDB

Source: 2018 Canadian Open Math Challenge Part B Problem 2 —--
Let ABCD be a square with side length 1. Points

X

and

Y

are on sides

BC

and

CD

respectively such that the areas of triangels

ABX

XCY

, and

YDA

are equal. Find the ratio of the area of

\triangle AXY

to the area of

\triangle XCY

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Problem Statement