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In a right triangle, \( r = \frac{a + b - c}{2} \), and \( c = \text{hypotenuse} \). But there's a known ratio:
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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