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📰 Thus, the ratio is \(\boxed{\frac{3\sqrt{3}}{\pi}}\). 📰 An equilateral triangle has a side length of \( s \) and its area is reduced by removing a smaller equilateral triangle from one corner, such that the side of the smaller triangle is \( \frac{s}{2} \). Determine the percentage decrease in the area of the triangle. 📰 The area of the original equilateral triangle is \( A_1 = \frac{\sqrt{3}}{4} s^2 \). The area of the smaller equilateral triangle with side \( \frac{s}{2} \) is \( A_2 = \frac{\sqrt{3}}{4} \left(\frac{s}{2}\right)^2 = \frac{\sqrt{3}}{4} \cdot \frac{s^2}{4} = \frac{\sqrt{3}}{16} s^2 \). The decrease in area is \( \Delta A = A_1 - A_2 = \frac{\sqrt{3}}{4} s^2 - \frac{\sqrt{3}}{16} s^2 = \left(\frac{4}{16} - \frac{1}{16}\right)\sqrt{3} s^2 = \frac{3\sqrt{3}}{16} s^2 \). The percentage decrease is: 📰 New Series On Prime 9870626 📰 How To Pronounce Tinnitus 1455845 📰 You Wont Believe What Happens In The Black Mirror Episodes You Miss 5295672 📰 Jimmy Ruffin The Singer 1911269 📰 How To Remove Proof From Photo 1968053 📰 Only Fans Get The Ultimate Avengers Cast Lineup You Need To See Now 7610131 📰 Easily Avoid Mail Rejections The Shocking Way To Write Addresses Like A Pro 2344933 📰 You Wont Believe How Powerful Earths Mightiest Heroes Are Avengers Unleashed 6226900 📰 Credit Card For Dining 546228 📰 Pltsavefig 7428968 📰 How To Automatically Forward Emails In Outlook 6333649 📰 Iad To Sfo 6104237 📰 Artificial Intelligence Companies 3420850 📰 Discover Why Nonpareils Are The Secret Weapon You Secretly Need 6672655 📰 Cast Of Deadwood 794331