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Find r

Source: Cono Sur 1991-problem 5

May 29, 2006

geometry unsolvedgeometry

Problem Statement

Given a square

ABCD

with side

1

, and a square inside

ABCD

with side

x

, find (in terms of

x

) the radio

r

of the circle tangent to two sides of

ABCD

and touches the square with side

x

. (See picture).

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