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let circumradius, find angles

Source: Croatian NMC 2005, 1st Grade

May 8, 2007

geometrycircumcircletrigonometry

Problem Statement

The circumradius

R

of a triangle with side lengths

a, b, c

satisﬁes

R =\frac{a\sqrt{bc}}{b+c}

. Find the angles of the triangle.

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