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Home » The Sly Cooper Games That Will Steal Your Heart (You Can’t Stop Playing!) - Sterling Industries

The Sly Cooper Games That Will Steal Your Heart (You Can’t Stop Playing!) - Sterling Industries

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 Solution: A regular hexagon inscribed in a circle of radius $r$ can be divided into 6 equilateral triangles, each with side length $r$.

📌 The area of one equilateral triangle with side $r$ is:

📌 Thus, the total area of the hexagon is:

📌 This is the total area covered by the pixel clusters.

📌 Question: A fossilized leaf fragment is analyzed under a microscope, revealing a triangular vascular structure with side lengths 13 cm, 14 cm, and 15 cm. Using the shortest altitude, determine the minimum vertical height from the longest side, which helps estimate fluid flow efficiency in the ancient plant system.

📌 Solution: The triangle has side lengths $a = 13$, $b = 14$, $c = 15$. The longest side is $15$ cm, so the shortest altitude corresponds to this side.

📌 First, compute the area using Herons formula. The semiperimeter is:

📌 Thus, the shortest altitude (minimum vertical height from the longest side) is $11.2$ cm.

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