1960 IMO Problems

Problems of the 2nd IMO 1960 Romania.

Day I

Problem 1

Solution

Problem 2

Solution

Problem 3

In a given right triangle , the hypotenuse , of length , is divided into equal parts ( and odd integer). Let be the acute angle subtending, from , that segment which contains the midpoint of the hypotenuse. Let be the length of the altitude to the hypotenuse of the triangle. Prove that:

Solution

Day II

Problem 4

Solution

Problem 5

Solution

Problem 6

Solution

Resources

• 1960 IMO
• IMO 1960 Problems on the Resources page