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Home » Why All Sloth Lovers Are Obsessed with Baby Sloths (You Need to See This!) - jntua results

Why All Sloth Lovers Are Obsessed with Baby Sloths (You Need to See This!) - jntua results

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Solution: Let the fourth vertex be $D = (x, y, z)$. In a regular tetrahedron, all six edges must be equal. First, compute the distance between known points:

📌 AB = \sqrt{(1-0)^2 + (0-1)^2 + (0-0)^2} = \sqrt{1 + 1} = \sqrt{2}

📌 So all edges must be $\sqrt{2}$. Set up equations for $AD = BD = CD = \sqrt{2}$:

📌 $AD^2 = (x - 1)^2 + y^2 + z^2 = 2$

📌 $BD^2 = x^2 + (y - 1)^2 + z^2 = 2$

📌 $CD^2 = x^2 + y^2 + (z - 1)^2 = 2$

📌 Subtracting equation (1) from (2):

📌 [x^2 + (y - 1)^2 + z^2] - [(x - 1)^2 + y^2 + z^2] = 0

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