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Home » Skeletor Unleashed: The Darkest Secret Behind the Mask That Haunts Gaming Legends! - Abbey Badges

Skeletor Unleashed: The Darkest Secret Behind the Mask That Haunts Gaming Legends! - Abbey Badges

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 \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 side lengths $ 7 $ cm, $ 10 $ cm, and $ 13 $ cm.

📌 Solution: First, compute the area using Heronâs formula. Let $ a = 7 $, $ b = 10 $, $ c = 13 $. The semi-perimeter $ s $ is:

📌 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{15 \cdot 8 \cdot 5 \cdot 2} = \sqrt{1200}

📌 \sqrt{1200} = \sqrt{100 \cdot 12} = 10\sqrt{12} = 10 \cdot 2\sqrt{3} = 20\sqrt{3} ext{ cm}^2

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For Case 2:
Choose 2 positions for the two prime rolls: $ \binom{4}{2} = 6 $
Assign one prime as 2, one as odd (3 or 5): 2 ways (which is which)
Odd prime choice: 2
Non-primes: one must be odd (1), one even (4 or 6): 2 choices
→ Total: $ 6 \times 2 \times 2 \times 2 = 48 $? Wait: 6 (position pair...
But earlier Case 1 gave 24 → total valid: 24 + 48 = 72
Wait: in Case 1: 6 position choices, 1 prime assignment (2,2), 4 non-p...
In Case 2a: 6 position pairs, 2 ways to assign primes (which is 2), 2...
Pos 1: 2, pos 2: 3 → prime assignment (2,3)

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