9.1

Part of 2003 All-Russian Olympiad Regional Round

Problems(1)

equilateral +-a > right triangle - All-Russian MO 2003 Regional (R4) 9.1

Source:

Prove that the sides of any equilateral triangle you can either increase everything or decrease everything by the same amount so that you get a right triangle.

geometryalgebraEquilateralright triangle