distance of feet of 2 altitudes = 1/2 R
Source: IV Soros Olympiad 1997-98 R2 10.3 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
June 1, 2024
geometrycircumradius
Problem Statement
What can angle of triangle be equal to if it is known that the distance between the feet of the altitudes drawn from vertices and is equal to half the radius of the circle circumscribed around this triangle?