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πŸ“° \]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 lakeҀ™s center to this chord as 3 km. What is the radius of the lake in kilometers? πŸ“° 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: πŸ“° r^2 = 3^2 + 5^2 = 9 + 25 = 34 πŸ“° Sudden Change Sysco Food Service Stock And It Stuns Experts πŸ“° Best Checking Account Banks πŸ“° Finally A Hotkey Task Manager That Actually Makes Multitasking Seem Easyis It Too Good To Be True 7359921 πŸ“° Jw Marriott Grand Rapids Mi 9248001 πŸ“° The Pan African Flag A Symbol Of Freedom You Never Knew You Needed 8099698 πŸ“° What Does Wsg Mean In Text πŸ“° Unexpected News Celtic Mythological Creatures And The Fallout Begins πŸ“° Lbs You Can Loseno Tricky Work Just Absolute Transformation 3053427 πŸ“° Excel Count Characters In Cell πŸ“° New Two Player Basketball Games Sweep The Internetwhy You Need To Play Now 4698506 πŸ“° Bank Of America Premium Rewards Elite Credit Card πŸ“° You Wont Believe How Easy It Is To Correct Sign Errors In Excel 3716171 πŸ“° Can Ps2 Games Play On Ps3 Console πŸ“° Auto Loan Prequalification πŸ“° Nissan Merger