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MathNet 2010 — Part 01 Question 161

Math Olympiad Vault · MathNet 2010 — Part 01

Question 161

An isosceles triangle has a base of $10~\mathrm{cm}$ and two equal sides measuring $13~\mathrm{cm}$. Is it possible to cut this triangle into two other triangles in such a way that, by joining these triangles in another way, we obtain another isosceles triangle (obviously with the same area)? Question illustration