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how old is jared goff - AssociationVoting

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 A = \frac{1}{2} \cdot 5 \cdot 12 = 30

📌 The hypotenuse is:

📌 c = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13

📌 Altitude to leg 5: $ h_5 = \frac{2A}{5} = \frac{60}{5} = 12 $

📌 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 $?

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