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Home » Meet the Wins Best-Beloved Cat Breeds—Cuteness Landscape Like Never Before! - Leaselab

Meet the Wins Best-Beloved Cat Breeds—Cuteness Landscape Like Never Before! - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Solution: Let the sides be $a-1$, $a$, $a+1$. This is a triangle only if triangle inequalities hold:

📌 $(a-1) + a > a+1 \Rightarrow 2a - 1 > a + 1 \Rightarrow a > 2$.

📌 Use Heron’s formula. Let $s = \frac{(a-1) + a + (a+1)}{2} = \frac{3a}{2}$.

📌 Then area $A = \sqrt{s(s - a+1)(s - a)(s - a-1)} = \sqrt{ \frac{3a}{2} \cdot \left(\frac{3a}{2} - a + 1\right) \cdot \left(\frac{3a}{2} - a\right) \cdot \left(\frac{3a}{2} - a - 1\right)} $

📌 = \sqrt{ \frac{3a}{2} \cdot \left(\frac{a}{2} + 1\right) \cdot \left(\frac{a}{

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