triangle with sides a cosA, b cosB, c cosC
Source: II Soros Olympiad 1995-96 R3 10.3 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
June 6, 2024
triangle inequalitygeometry
Problem Statement
Each side of an acute triangle is multiplied by the cosine of the opposite angle.
a) Prove that a triangle can be formed from the resulting segments.
6) Find the radius of the circle circumscribed around the resulting triangle if the radius of the circle circumscribed around the original triangle is equal to .