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

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

$a over 2 square root of 6$
$a over 4 square root of 6$
$a over 3 square root of 6$
$a over 5 square root of 6$
$a over 6 square root of 6$

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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