MathDB
Vertices from a right-angled triangle

Source: Sharygin 2019 Finals Day 2 Grade 9 P2

July 31, 2019

Problem Statement

A non-convex polygon has the property that every three consecutive its vertices from a right-angled triangle. Is it true that this polygon has always an angle equal to 90∘90^{\circ} or to 270∘270^{\circ} ?
Back to ProblemsView on AoPS