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Kosovo MO 2012 Grade 11, Problem 2

Source: Kosovo MO 2012 Grade 11, Problem 2

June 7, 2021

geometry

Problem Statement

The bisector of acute angle

\alpha

of the right triangle

ABC

splits the side

a

in two segments with lengths

m

and

n

. Find the acute angle

\beta

and the lenths of the other two sides by knowing

m

and

n

.

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