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Home » How The Simpsons Transformed Fortnite—You’ll Be Obsessed After This! - Appcentric

How The Simpsons Transformed Fortnite—You’ll Be Obsessed After This! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A computer scientist is designing an AI interface that uses equilateral triangular logic gates. Each gate has a side length of \( s \). If the side length is increased by 50%, what is the ratio of the new area to the original area of one triangular gate?

📌 To find the ratio of the new area to the original area after increasing the side length, we calculate the areas before and after the change.

📌 Original Triangular Area:

📌 The area \( A \) of an equilateral triangle with side \( s \) is given by:

📌 A_{\text{original}} = \frac{\sqrt{3}}{4}s^2

📌 New Triangular Area:

📌 The side length is increased by 50%, so the new side length is \( 1.5s \). The new area is:

📌 A_{\text{new}} = \frac{\sqrt{3}}{4}(1.5s)^2 = \frac{\sqrt{3}}{4} \cdot 2.25s^2 = \frac{2.25\sqrt{3}}{4}s^2

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