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Home » So right-angled at $ A $ with legs 6 and 8, area = $ - Moon Smoking

So right-angled at $ A $ with legs 6 and 8, area = $ - Moon Smoking

📅 May 15, 2026 👤 scraface

May 15, 2026

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🔥 Popular Posts

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:
A = rac{1}{2} b h \Rightarrow h = rac{2A}{b}
To find the longest altitude, we use the shortest side, since altitude...
h_{ ext{longest}} = rac{2 \cdot 20\sqrt{3}}{7} = rac{40\sqrt{3}}{7}...

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