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V_\texttetrahedron = \frac\sqrt212 s^3 - AMAZONAWS
V_\texttetrahedron = \frac\sqrt212 s^3 - AMAZONAWS
📅 March 6, 2026
👤 scraface
Mar 06, 2026
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📌 \frac{2\pi \left(\frac{a + b - t}{2}\right)^2}{ab} = \frac{2\pi \cdot \frac{(a + b - t)^2}{4}}{ab} = \frac{\pi (a + b - t)^2}{2ab}
📌 Solution: To find the radius $r$ of the inscribed circle of a triangle with sides $a = 13$, $b = 14$, and $c = 15$, we use the formula:
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📌 \times 4096 = 20480
📌 Since the slots are indistinct, we count partitions of the set of 4 satellites into at most 2 non-empty indistinct subsets. We consider all partitions of 4 labeled objects into 1 or 2 non-empty indistinct subsets.
📌 Now compute $S(5,2) = 2 \cdot S(4,2) + S(4,1) = 2 \cdot 7 + 1 = 14 + 1 = 15$
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