Concursul Matefbc editia a 3-a problema 6

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Andi Brojbeanu
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Concursul Matefbc editia a 3-a problema 6

Post by Andi Brojbeanu »

Fie triunghiul isoscel \( ABC \) cu \( AB=BC \) si \( M, P\in (AB) \) astfel incat \( MA=BP \). Fie \( Q \) intersectia perpendicularei din \( A \) pe \( CM \) cu latura \( BC \) si \( \{R\}=CM\cap QP \). Demonstrati ca \( \angle{AQC}=\angle{PQB} \) si \( RA=RB \).
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