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Diketahui segitiga ABC dengan panjang AB = 3 cm dan panjang BC = 6 cm. Jika garis berat AD, garis bagi BE, dan garis tinggi CF berpotongan pada satu titik O, maka panjang AC sama dengan…

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$D e n g a n space g a r i s space b a g i space B E space d i p e r o l e h space fraction numerator A E over denominator E C end fraction equals fraction numerator A B over denominator B C end fraction space fraction numerator A E over denominator E C end fraction equals 3 over 6 space fraction numerator A E over denominator E C end fraction equals 1 half space space D e n g a n space m e n g g u n a k a n space D a l i l space C e v a space p a d a space s e g i t i g a space A B C space d i p e r o l e h space fraction numerator A F over denominator F B end fraction space space. fraction numerator B D over denominator D C end fraction space space. fraction numerator C E over denominator E A end fraction equals 1 space fraction numerator A F over denominator F B end fraction space space.1 space.2 over 1 equals 1 space fraction numerator A F over denominator F B end fraction equals 1 half space space K a r e n a space A F space colon space F B space equals space 1 space colon space 2 space m a k a space A F equals 1 third space A B equals 1 third space left parenthesis 3 right parenthesis equals 1 space c m space F B equals 2 over 3 space A B equals 2 over 3 space left parenthesis 3 right parenthesis equals 2 space c m space space D e n g a n space d a l i l space p r o y e k s i space g a r i s space t i n g g i space C F space d i p e r o l e h B C squared equals A C squared plus A B squared minus 2. A F. A B space 6 squared equals A C squared plus 3 squared minus 2.1.3 space 36 equals A C squared plus 3 space A C squared equals 33 space A C equals square root of 33$