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MathNet 2017-part-01 — 176 problems (EN–VI) Question 108

Math Olympiad Vault · MathNet 2017-part-01 — 176 problems (EN–VI)

Question 108

Consider an acute triangle $A B C$.
Question illustration
Explain how to construct a triangle $D B C$ with the same area as $A B C$, satisfying $D B=A B$, but which is not congruent to triangle $A B C$.