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HKIMO 2026 THPT (Grades 10–12 shared) National Final (Heat) Set 05 Question 17

HKIMO · HKIMO 2026 THPT (Grades 10–12 shared) National Final (Heat) Set 05

Question 17

In acute triangle $ABC$, altitudes $AD$ and $BE$ meet at $H$. Join $D$ and $E$. How many pairs of similar triangles are there?