Pertanyaan

Limas beraturan T.ABCD dengan rusuk alas 8 dan rusuk tegak 12. Jarak dari A ke TC adalah...

$begin mathsize 12px style fraction numerator 8 square root of 14 over denominator 3 end fraction end style$
$begin mathsize 12px style fraction numerator 4 square root of 14 over denominator 3 end fraction end style$

P. Anggrayni

Master Teacher

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$begin mathsize 12px style A C space equals space 8 square root of 2 space A O space equals space 4 square root of 2 T O space equals square root of T A squared minus A O squared end root space space space space space space space equals square root of 12 squared minus open parentheses 4 square root of 2 close parentheses squared end root space space space space space space space equals square root of 144 minus 32 end root space space space space space space space equals square root of 112 space space space space space space space equals 4 square root of 7 A P space equals space fraction numerator A C. T O over denominator T C end fraction space space space space space space space equals fraction numerator 8 square root of 2.4 square root of 7 over denominator 12 end fraction space space space space space space space equals fraction numerator 8 square root of 14 over denominator 3 end fraction end style$