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donjar

Lokus dan midpoint sisi-sisi segitiga

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Diberikan segitiga $ABC$; titik-titik $A'$, $B'$, dan $C'$ masing-masing adalah titik tengah segmen-segmen $BC$, $CA$, dan $AB$. Diberikan $P$ dan $P'$ sehingga $PA = P'A'$, $PB = P'B'$ dan $PC = P'C'$. Buktikan semua garis $PP'$ yang mungkin melewati sebuah titik tetap.

 

Sumber:

Iran TST 2011 Day 4 no. 2

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