MathDB

min equilateral inscirbed in 90-60-30 (III Soros Olympiad 1996-97 R1 9.7)

Source:

May 29, 2024

geometryEquilateralinscribed

Problem Statement

Find the side of the smallest regular triangle that can be inscribed in a right triangle with an acute angle of

30^o

and a hypotenuse of

2

. (All vertices of the required regular triangle must be located on different sides of this right triangle.)