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Home » Dirt Rally 2.0 Going Viral—Watch How This Game Killed the Field! - Moon Smoking

Dirt Rally 2.0 Going Viral—Watch How This Game Killed the Field! - Moon Smoking

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 The radius $ r $ of the inscribed circle in a right triangle is:

📌 Substitute into the formula for $ r $:

📌 Now, recall that the area can also be expressed in terms of the inradius and semiperimeter $ s $:

📌 Question: A triangle has sides of lengths $ 13 $, $ 14 $, and $ 15 $. What is the length of the shortest altitude?

📌 Let the triangle have sides $ a = 13 $, $ b = 14 $, $ c = 15 $. The shortest altitude corresponds to the longest side, which is $ c = 15 $.

📌 First, compute the area using Herons formula.

📌 Now, the altitude $ h $ corresponding to side $ c = 15 $ is:

📌 The area $ A $ of a triangle with inradius $ r $ and semiperimeter $ s $ is given by the formula:

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