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Home » Education: Simple Mehndi Designs That Look Complex – Try Them Today! - High Altitude Science

Education: Simple Mehndi Designs That Look Complex – Try Them Today! - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A regular tetrahedron has equal edge lengths. The given vertices are \((0, 0, 0)\), \((1, 0, 0)\), \((0, 1, 0)\). The side length is 1.

📌 The distance from \((0, 0, 0)\) to \((x, y, z)\) is:

📌 \sqrt{x^2 + y^2 + z^2} = 1 \quad \Rightarrow \quad x^2 + y^2 + z^2 = 1

📌 The distance from \((1, 0, 0)\) to \((x, y, z)\) is:

📌 \sqrt{(x-1)^2 + y^2 + z^2} = 1 \quad \Rightarrow \quad (x-1)^2 + y^2 + z^2 = 1

📌 x^2 - 2x + 1 + y^2 + z^2 = 1 \quad \Rightarrow \quad x^2 + y^2 + z^2 - 2x + 1 = 1

📌 Since \(x^2 + y^2 + z^2 = 1\), we have:

📌 - 2x + 1 = 1 \quad \Rightarrow \quad 2 - 2x = 1 \quad \Rightarrow \quad x = \frac{1}{2}

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