DImensti Tiga
Bangun Ruang Kubus ABCD. EFGH
jarak P ke G = 1/4 (s) √6
s= sisi kubus
*
i) s = 12 cm
jarak P ke G = 1/2 (s) √6
jarak P ke G = 1/2 (12) √6
jarak P ke G = 6√6
cara II )
rusuk = s = 12 cm
P titik potong AC dan BD
AP = PC = 1/2 (AC) =1/2 diagonal bidang
AP = PC = 1/2 (s√2) = 1/2 (12 √2)
AP = PC= 6√2
BP = s = 12
Jarak P ke G = PG
lihat Δ PCG siku siku di Bc
PG² = PC² + CG²
PG² = (6√2)² + (12)²
PG² = 72 + 144
PG² =216
PG = 6√6
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DImensti Tiga
Bangun Ruang Kubus ABCD. EFGH
jarak P ke G = 1/4 (s) √6
s= sisi kubus
*
i) s = 12 cm
jarak P ke G = 1/2 (s) √6
jarak P ke G = 1/2 (12) √6
jarak P ke G = 6√6
*
cara II )
rusuk = s = 12 cm
P titik potong AC dan BD
AP = PC = 1/2 (AC) =1/2 diagonal bidang
AP = PC = 1/2 (s√2) = 1/2 (12 √2)
AP = PC= 6√2
BP = s = 12
Jarak P ke G = PG
lihat Δ PCG siku siku di Bc
PG² = PC² + CG²
PG² = (6√2)² + (12)²
PG² = 72 + 144
PG² =216
PG = 6√6