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how to make a furnace in minecraft pc - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 To find the shortest altitude, we first compute the area of the triangle using Heron’s formula, then divide by the longest side (since the altitude to the longest side is the shortest).

📌 Let the sides be \(a = 13\), \(b = 14\), \(c = 15\). Compute the semi-perimeter \(s\):

📌 s = \frac{13 + 14 + 15}{2} = \frac{42}{2} = 21

📌 Apply Heron’s formula:

📌 A = \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{21(21-13)(21-14)(21-15)} = \sqrt{21 \times 8 \times 7 \times 6}

📌 = \sqrt{21 \times 8 \times 7 \times 6} = \sqrt{7056}

📌 The altitudes \(h_a\), \(h_b\), \(h_c\) corresponding to sides \(a\), \(b\), \(c\) are given by:

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