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Home » Compute \(\sum_k=1^50 \frac1k(k+1)\). - Richter Guitar

Compute \(\sum_k=1^50 \frac1k(k+1)\). - Richter Guitar

📅 May 2, 2026 👤 scraface

May 02, 2026

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The altitudes \( h_a \), \( h_b \), and \( h_c \) corresponding to sid...
h_a = \frac{2A}{a} = \frac{2 \times 84}{13} = \frac{168}{13} \approx 1...
h_b = \frac{2A}{b} = \frac{2 \times 84}{14} = 12
h_c = \frac{2A}{c} = \frac{2 \times 84}{15} = \frac{168}{15} = 11.2
The shortest altitude is \( h_c \), so:
The hypotenuse of a right triangle is \( z \), and the radius of the i...
The area \( A \) of the right triangle with hypotenuse \( z \) and leg...
The radius \( r \) of the inscribed circle in a right triangle is give...
r = \frac{a + b - z}{2}
\text{Area of circle} = \pi r^2

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