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Diketahui kubus ABCD.EFGH dengan panjang rusuk 10 cm. Jarak titik C ke garis AG adalah ...

5 cm

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

$J a r a k space t i t i k space C space k e space g a r i s space A G space a d a l a h space C P. A C space equals space a square root of 2 equals space 10 square root of 2 space c m A G space equals space a square root of 3 space equals space 10 square root of 3 space c m L u a s space s e g i t i g a space A C G space equals space 1 half space x space A C space x space C G L u a s space s e g i t i g a space A C G space equals space 1 half x 10 square root of 2 x 10 L u a s space s e g i t i g a space A C G space equals space space 50 square root of 2 1 half X A C x C G space equals space 1 half X A G space x space C P 50 square root of 2 space equals 1 half x 10 square root of 3 x C P 50 square root of 2 space equals 5 square root of 3 space x space C P C P equals space fraction numerator 50 square root of 2 over denominator 5 square root of 3 end fraction equals fraction numerator 10 square root of 2 over denominator square root of 3 end fraction x fraction numerator square root of 3 over denominator square root of 3 end fraction equals fraction numerator 10 square root of 6 over denominator 3 end fraction$