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Home » For $ t < 2 $, $ 4 - t^2 > 0 \Rightarrow F'(t) > 0 $, - Crosslake

For $ t < 2 $, $ 4 - t^2 > 0 \Rightarrow F'(t) > 0 $, - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 But in a right triangle, the inradius is related to the sides $ a, b, h $ by:

📌 r = \frac{a + b - h}{2}

📌 Also, the area of the triangle is:

📌 However, using the inradius formula, we can express the triangle’s area as:

📌 A_{\text{triangle}} = r \cdot s \quad \text{where } s = \frac{a + b + h}{2}

📌 So the ratio becomes:

📌 \frac{A_{\text{circle}}}{A_{\text{triangle}}} = \frac{\pi r^2}{r s} = \frac{\pi r}{s}

📌 Substituting $ s = \frac{a + b + h}{2} $, the final expression for the ratio is:

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