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Home » Event 1: year 58, Event 2: year 1930. - Dachbleche24

Event 1: year 58, Event 2: year 1930. - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Altitude to leg 12: $ h_{12} = \frac{2A}{12} = \frac{60}{12} = 5 $

📌 Altitude to hypotenuse 13: $ h_{13} = \frac{2A}{13} = \frac{60}{13} \approx 4.615 $

📌 The shortest altitude is $ \boxed{\frac{60}{13}} $.

📌 Question: The hypotenuse of a right triangle is $ z $, and the radius of the circumscribed circle is $ R $. What is the value of $ R $ in terms of $ z $?

📌 Solution: In a right triangle, the circumradius $ R $ is half the hypotenuse:

📌 R = \frac{z}{2}

📌 Thus, the value of $ R $ is $ \boxed{\frac{z}{2}} $.Question: An electrical engineer in Qatar is designing a smart grid that requires three power distribution modules. The power outputs of the modules are modeled by the expressions $ 3x + 4 $, $ 5x + 2 $, and $ 4x + 6 $. What is the average power output of the three modules?

📌 Solution: To find the average power output, we sum the three expressions and divide by 3:

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