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Diketahui balok ABCD.EFGH dengan panjang AB = 12 cm, BC = 6 cm, dan AE = 8 cm. Jarak antara garis AE dan garis CG adalah ….

Rani Maharani

Soal

Jawaban

Diketahui balok ABCD.EFGH dengan panjang AB = 12 cm, BC = 6 cm, dan AE = 8 cm. Jarak antara garis AE dan garis CG adalah:

$$\begin{aligned} \text{Panjang diagonal bidang ECGF} &= \sqrt{EC^2 + CG^2 + EF^2} \\ &= \sqrt{(12\text{ cm})^2 + (6\text{ cm})^2 + (8\text{ cm})^2} \\ &= \boxed{6\sqrt{5} \text{ cm}} \end{aligned}$$

Jadi, jarak antara garis AE dan garis CG adalah 6√5 cm.

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