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Home » Let the middle integer be \( n \), then: - Deep Underground Poetry

Let the middle integer be \( n \), then: - Deep Underground Poetry

📅 May 3, 2026 👤 scraface

May 03, 2026

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Let $A = (0, 0)$, $C = (3, 4)$.
Midpoint of $AC$:
M_2 = \left( \frac{0 + 3}{2}, \frac{0 + 4}{2} \right) = \left( \frac{3...
Slope of $AC$:
\frac{4 - 0}{3 - 0} = \frac{4}{3}
So the slope of the perpendicular bisector is:
-\frac{3}{4}
Equation of the perpendicular bisector through $M_2$:
y - 2 = -\frac{3}{4} \left(x - \frac{3}{2} \right)
Step 3: Find intersection point with $x = 3$

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