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Home » So the smallest \( n \) is **12**. - Tacotoon

So the smallest \( n \) is 12. - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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A_{ ext{new}} = rac{\sqrt{3}}{4}(14)^2 = rac{\sqrt{3}}{4} \cdot 196...
\Delta A = 49\sqrt{3} - 25\sqrt{3} = 24\sqrt{3} ext{ cm}^2
Thus, the area increases by $ oxed{24\sqrt{3}} $ cmÂ².
Question: Find the length of the longest altitude of a triangle with s...
Solution: First, compute the area using Heronâs formula. Let $ a = 7...
s = rac{7 + 10 + 13}{2} = 15
The area $ A $ is:
A = \sqrt{s(s - a)(s - b)(s - c)} = \sqrt{15(15 - 7)(15 - 10)(15 - 13)...
\sqrt{1200} = \sqrt{100 \cdot 12} = 10\sqrt{12} = 10 \cdot 2\sqrt{3} =...
The altitude $ h $ corresponding to a side $ b $ is given by:

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