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Panjang rusuk kubus ABCD.EFGH adalah a. Jarak A ke...

Panjang rusuk kubus ABCD.EFGH adalah a. Jarak A ke diagonal BH adalah ..... 

  1. a over 2 square root of 6

  2. a over 4 square root of 6

  3. a over 3 square root of 6

  4. a over 5 square root of 6

  5. a over 6 square root of 6

Jawaban:

D i a g o n a l space R u a n g space equals space B H space equals  D i a g o n a l times space s i s i space equals space A H space equals a square root of 2  L triangle A B H equals fraction numerator B H cross times A O over denominator 2 end fraction equals fraction numerator A B cross times A H over denominator 2 end fraction  fraction numerator a square root of 3 cross times A O over denominator 2 end fraction equals fraction numerator a cross times a square root of 2 over denominator 2 end fraction  a square root of 3 cross times A O equals a cross times a square root of 2  A O equals fraction numerator a squared square root of 2 over denominator a square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction  A O equals a over 3 square root of 6

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