LC Maths Boost: Co-Ordinate Geometry of the Line | Perpendicular Distance from a point to a line | Finding the Perpendicular Distance when given 3 Points |
LC Maths Boost: Co-Ordinate Geometry of the Line | Perpendicular Distance from a point to a line | Finding the Perpendicular Distance when given 3 Points |
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The shortest distance isn’t what you think… It’s always a straight drop. This is the famous Point to Line Distance Formula — one of the most useful results in coordinate geometry. Given a point (x₀, y₀) and a line: Ax By C = 0 The shortest distance from the point to the line is: d = |Ax₀ By₀ C| / √(A² B²) Why this works 💡 The shortest path from a point to a line is always perpendicular. This idea comes straight from geometry and connects back to the Pythagorean Theorem. Where you’ll use this 🚀
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