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Home » Join the Revolution: Split Rent Into 4 Payments & Save Big! - Treasure Valley Movers

Join the Revolution: Split Rent Into 4 Payments & Save Big! - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 Solution: A regular tetrahedron has all edges equal. Compute distances between given points:

📌 Distance between $(0,0,0)$ and $(1,1,1)$: $\sqrt{3}$.

📌 Distance between $(0,0,0)$ and $(1,0,0)$: $1$. This is inconsistent, so the given points cannot form a regular tetrahedron. Re-evaluate: The problem likely assumes edge length $\sqrt{2}$ or similar. Suppose the three points are $(0,0,0)$, $(1,1,0)$, $(1,0,1)$, and find the fourth $(0,1,1)$. Check distances:

📌 Between $(0,0,0)$ and $(1,1,0)$: $\sqrt{2}$,

📌 between $(0,0,0)$ and $(1,0,1)$: $\sqrt{2}$,

📌 between $(0,0,0)$ and $(0,1,1)$: $\sqrt{2}$,

📌 and between $(1,1,0)$ and $(1,0,1)$: $\sqrt{(0)^2 + (-1)^2 + (1)^2} = \sqrt{2}$, etc. All edges $\sqrt{2}$. Thus, the fourth vertex is $(0,1,1)$.

📌 \boxed{(0, 1, 1)}

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