Concursul Matefbc editia a 2-a problema 6

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Andi Brojbeanu
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Concursul Matefbc editia a 2-a problema 6

Post by Andi Brojbeanu »

Fie \( ABC \) un triunghi care nu este isoscel si \( AD\perp(ABC), E\in AD \). Se construiesc \( AM\perp BD, M\in BD ,AN\perp CD, N\in CD, AP\perp EB, P\in EB \) si \( AQ\perp EC, Q\in EC \). Sa se arate ca punctele \( M, N, P \) si \( Q \) sunt coplanare.
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