Drepte paralele in triunghi

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Claudiu Mindrila
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Drepte paralele in triunghi

Post by Claudiu Mindrila »

\( \left|\begin{array}{c}
\triangle ABC\\
M,\ N\in\left(AB\right)\\
P,\ Q\in\left(AC\right)\\
AM=BN,\ AP=CQ\\
MP+NQ=BC\end{array}\right|\Longrightarrow MP\parallel NQ \)


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Marius Mainea
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Post by Marius Mainea »

Daca R este intersectia paralelelor duse prin Q si C la AB respectiv MR, atunci R se afla pe BC.

Deducem \( NQ \parallel BR\parallel MP \).
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