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📰 \]Question: A cartographer measures the lower edge of a mountain ridge as a chord of a circular lake, finding it to be 10 km long, and the perpendicular distance from the lake’s center to this chord as 3 km. What is the radius of the lake in kilometers? 📰 Solution: Let the radius of the circular lake be $ r $ km. The chord length is 10 km, so half the chord length is $ 5 $ km. The perpendicular distance from the center to the chord is 3 km. By the Pythagorean Theorem applied to the right triangle formed by the radius, half the chord, and the perpendicular from the center to the chord, we have: 📰 r^2 = 3^2 + 5^2 = 9 + 25 = 34 📰 Never Guessed Saro Stock Could Crash This Farheres The Price Shock Revealed 413287 📰 How To Loved 1506921 📰 Jill Winternitz 5931022 📰 Discover The Secret Reason Milk Fish Is The Ultimate Superfood Youve Never Heard Of 5850057 📰 1923 Reviews Reveal Forgotten Gems That Changed Cinema Forever Dont Miss These Timeless Classics 9932246 📰 Why Investors Are Going Wild Over Stablecoin Stockyou Wont Believe How Its Spinning Profits 7050313 📰 The Secret Reason Every Man Wishes Fathers Day Was Different 4855578 📰 How Much Is Chilis Triple Dipper 2691723 📰 Bank Of America Rates 8281476 📰 Aliens Versus Predator 2 Movie 1482109 📰 Citizen Free Press 5334641 📰 This Hidden Truth About X Men Movies Will Change How You Watch Them Forever 4000475 📰 You Wont Believe What Happened To This Woman During Her Secret Chinese Massage Session 1402953 📰 Fre Pc Games 5821806 📰 Youll Baire Every Panel The Untold Secrets Of The Bone Comic Book 1880295