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OSP SMA 2007 Bagian Kedua No 4

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Pada segitiga lancip $ABC$, $AD$, $BE$, dan $CF$ adalah garis-garis tinggi, dengan $D$, $E$, dan $F$ berturut-turut pada sisi $BC$, $CA$, dan $AB$. Buktikan bahwa

$$DE + DF \leq BC.$$

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