Tolong jawab ya guys
Matematika
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Tolong jawab ya guys
1 Jawaban
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1. Jawaban Anonyme
Balok ABCD.EFGH
AB = 8 cm
BC = CG = 4cm
Perhatikan ∆AFH
AF = FH = √(AB² + BF²) = √(8² + 4²) = 4√5 cm
AH = diagonal sisi ADHE = 4√2 cm
O tengah AH
OA = 1/2 AH = 2√2 cm
FO = √(EO² + EF²) = √(8 + 8²) = 6√2 cm
Perhatikan ∆EFO siku di E
sudut antara EF dan AFH = sudut EFO = a
cos a = EF/FO
cos a = 8/(6√2)
cos a = 4/(3√2)
cos a = 4/(3√2) . √2 /√2
cos a = 4/6 √2
cos a = 2/3 √2