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MathNet 2011 Question 29

Math Olympiad Vault · MathNet 2011

Question 29

A square with the sides measuring $1$ cm is divided into three triangles. Which of the following statements is certainly true?
(A) The perimeter of one of the triangles is equal to $2 + \sqrt{2}$ cm.
(B) The area of one of the triangles is equal to $0.5 \text{ cm}^2$.
(C) Two of the triangles are right triangles.
(D) None of the triangles are obtuse.
(E) One of the triangles is acute.