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O inegalitate fantastica in geometria plana

 
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Mateescu Constantin
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Joined: 21 Apr 2009
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PostPosted: Sat Aug 12, 2017 12:57 pm    Post subject: O inegalitate fantastica in geometria plana Reply with quote

Fie ABC un triunghi si P un punct arbitrar din planul sau. Aratati ca: \overline{\underline{\left\|\ \frac {PA}a\ +\ \frac {PB}b\ +\ \frac {PC}c\ \ge\  \frac {a\, +\, b\, +\, c}{PA\, +\, PB\, +\, PC}\ \right\|}} .

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