Diketahui ABCD. EFGH panjang rusuk 12 lalu titik S ditengah BC jarak titik G ke AS (TLNG CARANYA YA)
Matematika
Samuelar
Pertanyaan
Diketahui ABCD. EFGH panjang rusuk 12 lalu titik S ditengah BC jarak titik G ke AS (TLNG CARANYA YA)
1 Jawaban
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1. Jawaban Anonyme
Kubus
>> ABCD.EFGH
rusuk = 12 cm
AG = 12√3 cm
AS = √(AB² + BS²) = 6√5 cm
GS = AS = 6√5 cm
Perhatikan ∆ASG samakaki
Jarak S ke AG = garis tinggi ∆ASG dg alas AG = SP
SP = √(GS² - GP²)
SP = √(180 - (6√3)²)
SP = 6√2 cm
Jarak G ke AS = GQ
AG × SP = AS × GQ
12√3 × 6√2 = 6√5 × GQ
GQ = 12/5 √30 m
Jarak G ke AS = 12/5 √30 cm