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📅 May 13, 2026 👤 scraface

May 13, 2026

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But we aim to express in terms of \( z \) and \( c \) only. However, w...
For a right triangle,
c = \frac{a + b - z}{2}, \quad A = \frac{1}{2}ab = \frac{(a + b)^2 - z...
Alternatively, recall that \( A = r s = c s \), so:
\frac{\pi c^2}{A} = \frac{\pi c^2}{c s} = \frac{\pi c}{s}.
But we need a closed-form expression in terms of \( z \) and \( c \)....
In a right triangle, \( r = \frac{a + b - c}{2} \), and \( c = \text{h...
Actually, a cleaner approach:
Let the triangle have legs \( a, b \), hypotenuse \( z \). Then:
A = \frac{ab}{2}, \quad s = \frac{a + b + z}{2}, \quad r = \frac{a +

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